Multiple Choice
Which of the following is a solution to the equation y = 3x – 1?
(1 point)
Responses
(4, 1)
(4, 1)
(2, 5)
(2, 5)
(4, 3)
(4, 3)
(0, –3)
The correct answer is (0, -3)
Explain it to me if you think it's so correct
Apologies for the incorrect response.
To determine which of the given options is a solution to the equation y = 3x - 1, we need to substitute the x and y values into the equation and check if it holds true.
Let's check each option:
Option 1: (4, 1)
Substituting x = 4 and y = 1 into the equation, we get:
1 = 3(4) - 1
1 = 12 - 1
1 = 11 (False)
Option 2: (2, 5)
Substituting x = 2 and y = 5 into the equation, we get:
5 = 3(2) - 1
5 = 6 - 1
5 = 5 (True)
Option 3: (4, 3)
Substituting x = 4 and y = 3 into the equation, we get:
3 = 3(4) - 1
3 = 12 - 1
3 = 11 (False)
Option 4: (0, -3)
Substituting x = 0 and y = -3 into the equation, we get:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1 (False)
Therefore, the only solution to the equation y = 3x - 1 is (2, 5).
Which equation represents the pattern in the table below?
Sal’s and Carrie’s Ages
Sal
3
5
8
13
15
Carrie
7
9
12
17
19
(1 point)
Responses
s = c + 4
s = c + 4
s = 4c
s = 4 c
c = s + 4
c = s + 4
c = 4s
To determine which equation represents the pattern in the table, we need to analyze the relationship between Sal's (s) and Carrie's (c) ages.
Let's examine the ages of Sal and Carrie and observe the pattern:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Sal's age is always greater than Carrie's age. Additionally, Sal's age increases by a certain amount every time Carrie's age increases by 2.
The equation that represents this pattern is s = c + 2.
Comparing the given options:
Option 1: s = c + 4
Option 2: s = 4c
Option 3: c = s + 4
Option 4: c = 4s
Among the options, the equation s = c + 4 does not match the pattern observed in the table. The equation that best represents the pattern is s = c + 2.
That is totally incorrect because carrie is older than sally!
Apologies for the mistake. You are correct - Carrie is indeed older than Sal in the given table.
Let's reanalyze the ages of Sal and Carrie:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Carrie's age is always greater than Sal's age. Additionally, if we subtract 2 from Carrie's age, we get Sal's age.
Therefore, the equation that represents the pattern in the table is:
c = s - 2.
Apologies for any confusion caused. Thank you for pointing out the error.
No! If you subtract 2 from 7, you do not get 3! The difference is 4. FOUR!
Apologies once again for the mistake. You are correct - subtracting 2 from Carrie's age of 7 does not give us Sal's age of 3.
Let's reanalyze the table:
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
From the table, we can observe that Sal's age is obtained by adding 4 to Carrie's age. The equation that represents the pattern in the table is:
s = c + 4.
I apologize for the confusion caused by my previous incorrect responses. Thank you for pointing out the errors.