1.What is the slope of the function shown on the graph?
A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).
A−56
B−54
C−65
D−45
2.A quarry runs a delivery service for crushed stone. The cost to deliver the crushed stone is a flat fee for the delivery and the cost of the crushed stone in terms of weight. The graph of the total cost, C, in dollars as a function of the weight, x, in pounds of the crushed stone is shown. What is the meaning of the y-intercept?
A line is graphed on a first quadrant coordinate plane. The horizontal x-axis is labeled Weight in pounds and goes from 0 to 6000 in increments of 200, and the vertical C of x-axis goes from 0 to 500 in increments of 20. The line passes approximately through (0, 120) and (400, 134).
A.The cost of the delivery is $120.
B.The cost of stone dust is $0.035 per pound.
C.The cost of the delivery is $70.
D.The cost of stone dust is $70 per ton.
3.What is the x-intercept of the function f(x) graphed on the coordinate plane?
A line is graphed on a four quadrant coordinate plane. The horizontal axis goes from negative 7 to 7 in increments of 1, and the vertical axis goes from negative 7 to 7 in increments of 1. From left to right, a straight line passes through (0, 1) and (2, 0).
A−2
B−1
C2
D1
4.The graph of the function g(x) is shown on the provided coordinate plane. Which statement is correct about the function g(x)?
A function is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 6 to 6 in increments of 0.5. A line passes through (negative 2, 0) and (2, 3).(1 point)
A.The value of g(x) increases by 4 when x increases by 4.
B.The value of g(x) is 0 when x=2.
C.The value of g(x) decreases by 4 when x increases by 4.
D.The value of g(x) is −2 when x=0.
The line passes through (0, 7) and (4, 2).
so, the slope is (2-7)/(4-0) = -5/4
Just for further information, that means the equation of the line is
y-2 = -5/4 (x-4)
or
y = -5/4 x + 7
See what you can do on the other. They are similar.
all are wrong
Find the slope of the line shown on the graph below.
A 4 quadrant coordinate plane with a line going through the points (negative 5, comma 0) and (6, comma 2).
1. To find the slope of the function, we need to use the formula for slope, which is (change in y) divided by (change in x). Given that the line passes through the points (0, 7) and (4, 2), we can calculate the change in y as (2 - 7) = -5 and the change in x as (4 - 0) = 4. The slope is then -5/4.
So, the correct answer is B: -54.
2. The y-intercept represents the value of the dependent variable (in this case, the cost in dollars) when the independent variable (in this case, the weight in pounds) is equal to zero. Looking at the graph, the line intersects the y-axis at approximately (0, 120). This means that when the weight is zero, the total cost is $120.
So, the correct answer is A: The cost of the delivery is $120.
3. The x-intercept represents the value of x when the function f(x) is equal to zero. Looking at the given graph, the line intersects the x-axis at approximately (2, 0). This means that when the function f(x) is equal to zero, x is equal to 2.
So, the correct answer is C: 2.
4. To determine the correct statement about the function g(x) based on the provided graph, we need to analyze the graph.
Looking at the graph, we can see that the line passes through the points (-2, 0) and (2, 3).
A. The value of g(x) increases by 4 when x increases by 4: This is not true because the value of g(x) increases by 3 when x increases by 4.
B. The value of g(x) is 0 when x = 2: This is not true because the value of g(x) is 3 when x = 2.
C. The value of g(x) decreases by 4 when x increases by 4: This is not true because the value of g(x) increases by 3 when x increases by 4.
D. The value of g(x) is -2 when x = 0: This is not true because the value of g(x) is 0 when x = 0.
From the given options, none of them correctly represents the function g(x) based on the graph.
Therefore, there is no correct statement about the function g(x) based on the provided options.
if you are in connexus algebra: answers are:
1. B
2. D
3. D
4. C
5. A
I swear these are the answers for Unit 5: Lesson 5 QC.
I hope you get a 100%. Have a great day everyone.