To find the linear function that models the relationship between the number of cubic yards of soil ordered (x) and the total cost (y), we need to find the slope (m) and the y-intercept (b).
We can consider the given data points as (x1, y1) = (4, 220) and (x2, y2) = (7, 340).
First, we find the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
m = (340 - 220) / (7 - 4)
m = 120 / 3
m = 40
Next, we substitute the slope (m) and one of the data points (x1, y1) into the slope-intercept form of a linear equation:
y = mx + b
220 = 40(4) + b
220 = 160 + b
b = 220 - 160
b = 60
Therefore, the equation of the linear function that models the relationship between the number of cubic yards of soil ordered (x) and the total cost (y) is:
y = 40x + 60
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.
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