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Independent and dependent variables quiz part and no
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Independent and Dependent Variables Quiz Part 1
Palinia Reel is taking this assessment.
1.
Select the phrase that correctly completes the sentence.
The value of the dependent variable in a function is always __________ the value of the independent variable.
(1 point)
greater than
dependent on
equal to
less than
2.
Which set of output values correctly completes the function table?
A function table of y equals 2 x minus 4 is shown. The first column is titled 'Input (x)' and contains the values 6, 2, and negative 4 from top to bottom. The second column is titled 'Output (y)' and contains the values question-mark, question-mark, and question-mark from top to bottom.
(1 point)
8, 2, –12
8, 0, 12
8, 0, –12
–8, 0 12
3.
Which function table is correct for the rule y = x – 18?
(1 point)
A table is shown.
The first column of the table lists Input left-parenthesis x right-parenthesis. The second column of the table lists Output left-parenthesis y right-parenthesis. Start Table 1st row 1st column 10 2nd column negative 8 2nd row 1st column 5 2nd column negative 13 3rd row 1st column 0 2nd column negative 18 End Table.
A table is shown.
The first column of the table lists Input left-parenthesis x right-parenthesis. The second column of the table lists Output left-parenthesis y right-parenthesis. Start Table 1st row 1st column negative 2 2nd column 20 2nd row 1st column negative 1 2nd column 17 3rd row 1st column 23 2nd column negative 12 End Table.
A table is shown.
The first column of the table lists Input left-parenthesis x right-parenthesis. The second column of the table lists Output left-parenthesis y right-parenthesis. Start Table 1st row 1st column negative 4 2nd column negative 22 2nd row 1st column negative 1 2nd column negative 17 3rd row 1st column 23 2nd column negative 5 End Table.
The image shows a table that has 4 rows and 2 columns. Row one reads Input (x), Output (y); row two reads negative 4, 7; row three reads 1, 3; and row four reads 6 and 13.
I found this from somebody
1.
Select the phrase that correctly completes the sentence.
The value of the dependent variable in a function is always __________ the value of the independent variable.
(1 point)
greater than
dependent on
equal to
less than
equal to.
2.
Which set of output values correctly completes the function table?
A function table of y equals 2 x minus 4 is shown. The first column is titled 'Input (x)' and contains the values 6, 2, and negative 4 from top to bottom. The second column is titled 'Output (y)' and contains the values question-mark, question-mark, and question-mark from top to bottom.
(1 point)
8, 2, –12
8, 0, 12
8, 0, –12
–8, 0 12
8, 0, –12.
3.
Which function table is correct for the rule y = x – 18?
(1 point)
A table is shown.
The first column of the table lists Input left-parenthesis x right-parenthesis. The second column of the table lists Output left-parenthesis y right-parenthesis. Start Table 1st row 1st column 10 2nd column negative 8 2nd row 1st column 5 2nd column negative 13 3rd row 1st column 0 2nd column negative 18 End Table.
A table is shown.
The first column of the table lists Input left-parenthesis x right-parenthesis. The second column of the table lists Output left-parenthesis y right-parenthesis. Start Table 1st row 1st column negative 2 2nd column 20 2nd row 1st column negative 1 2nd column 17 3rd row 1st column 23 2nd column negative 12 End Table.
A table is shown.
The first column of the table lists Input left-parenthesis x right-parenthesis. The second column of the table lists Output left-parenthesis y right-parenthesis. Start Table 1st row 1st column negative 4 2nd column negative 22 2nd row 1st column negative 1 2nd column negative 17 3rd row 1st column 23 2nd column negative 5 End Table.
The image shows a table that has 4 rows and 2 columns. Row one reads Input (x), Output (y); row two reads negative 4, 7; row three reads 1, 3; and row four reads 6 and 13.
A table is shown. The first column of the table lists Input (x). The second column of the table lists Output (y).
Start Table
1st row 1st column 10 2nd column -8
2nd row 1st column 5 2nd column -13
3rd row 1st column 0 2nd column -18
End Table.
Identify the rule for the function table.
Input Output
24 12
12 6
-12 -6
y=12-x
y=x-12
y=x÷2
y=2÷x
The rule for the function table is: y = x/2.
A science class planted a tree in the school courtyard that was 6 inches tall. It is growing 4 inches each week. Write a function rule for the height, h, of the tree based on the weeks, W, since it was planted.
h=6w+4
h=4w+6
h=4w
h=4w-6
The function rule for the height of the tree is: h = 4w + 6.
Which rule matches the function graphed below?
A coordinate grid with both the x- and y-axes between negative 12 and 12, and each interval mark on the axes represents two units. A line is graphed that connects the points left-parenthesis negative 4 comma 8 right-parenthesis, left-parenthesis negative 2 comma 4 right-parenthesis, and left-parenthesis 0 comma 0 right-parenthesis.
y=-2x
y=x+4
y=2x
y=x-4
The rule that matches the function graphed below is: y = -2x.
Identify the independent variable in this relationship. A person burns a total of c calories by walking m miles.
calories, c
miles, m
neither c, calories or m, miles
both c, calories or m, miles
The independent variable in this relationship is: miles, m.
Identify the dependent variable in this relationship. A person washes c cars and earns a total of d dollars.
neither c, cars or d, dollars
cars, c
dollars, d
both c, car and d, dollars
The dependent variable in this relationship is: dollars, d.
The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particular number, s, of student tickets purchased. Identify the independent and dependent variables.
The equation that relates the total cost, c, for a number, s, of student tickets purchased is:
c = 7s
The independent variable is the number of student tickets purchased, s.
The dependent variable is the total cost, c.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Input (x) Output (y)
32 20
14 2
?
−
6
−
2
−
14
−
10
?
Complete the function table and write the function rule.
To find the missing output values, we need to use the function rule that relates the input and output values.
First, we find the slope of the line between the known points (32,20) and (14,2).
slope = (change in y) / (change in x)
slope = (20 - 2) / (32 - 14)
slope = 18 / 18
slope = 1
Next, we can use the slope-intercept form of a linear equation (y = mx + b) and one of the known points to solve for the y-intercept, b.
y = mx + b
2 = 1(14) + b
2 = 14 + b
b = -12
Now we have the function rule: y = x - 12
We can use this rule to find the missing output values:
Input (x) Output (y)
32 20
14 2
6 -6
2 -10
-14 -26
-10 -22
how did you use the rule to find the missing output values?
To find the missing output values, we used the function rule that we just found, which is y = x - 12.
For example, to find the output value for an input of 6, we substituted 6 for x in the function rule:
y = x - 12
y = 6 - 12
y = -6
Similarly, we found the output values for the other missing inputs (-14 and -10) by substituting each input into the function rule:
y = x - 12
y = -14 - 12
y = -26
and
y = x - 12
y = -10 - 12
y = -22
This gave us the complete function table above.