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 the total cost. Enter your answer in y = mx + b form.

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1 answer

To find the equation of the linear function that models the relationship between the number of cubic yards of soil ordered and the total cost, we can use the two data points given:

(4, 220) and (7, 340)

First, calculate the slope (m):
m = (340 - 220) / (7 - 4)
m = 120 / 3
m = 40

Next, pick one of the points to substitute into the equation:

Using (4, 220):
220 = 40(4) + b
220 = 160 + b
b = 60

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