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
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)
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