Functions Unit Test

12 of 1512 of 15 Items

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)
Skip to navigation

1 answer

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

Using the two points (4, 220) and (7, 340), we can calculate the slope:
m = (340-220)/(7-4) = 120/3 = 40

Next, we can use one of the points to calculate the y-intercept:
220 = 40*4 + b
220 = 160 + b
b = 60

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