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 that models the relationship between the number of cubic yards of soil ordered and the total cost, we can use the two data points provided:

(4, 220) and (7, 340)

First, calculate the slope (m) using the two points:

m = (340 - 220) / (7 - 4)
m = 120 / 3
m = 40

Now, we can use one of the data points and the slope to find the y-intercept (b):

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

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