Question

Functions Unit Test
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Question
Last year, Alayah ordered 4 cubic yards of soil and spent $220. This year, she orders 7 cubic yards of soil and spends $340. Write the equation of the linear function that models the relationship between the number of cubic yards of soil ordered and the total cost. Enter your answer in y=mx+b form.(1 point)

Answer 1

To find the equation of the linear function, we need to find the slope (m) and the y-intercept (b).

Let's first find the slope:
Slope (m) = (change in y) / (change in x)
Slope = (340 - 220) / (7 - 4)
Slope = 120 / 3
Slope = 40

Now, let's use the slope and one of the points (4, 220) to find the y-intercept:
220 = 40(4) + b
220 = 160 + b
b = 60

Therefore, the equation of the linear function is:
y = 40x + 60