To find the equation of the linear function, we need to determine the slope (m) and the y-intercept (b) using the given data points (4, 220) and (7, 340).
First, calculate the slope (m) using the two data points:
m = (340 - 220) / (7 - 4)
m = 120 / 3
m = 40
Next, substitute one of the points into the slope-intercept form (y = mx + b) 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 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 yd.³ of soil and spent $220 last year. She ordered 7 yd.³ of soil and spent $340 right the equation of the linear function that models the relationship between the number of cubic yards of soil ordered, and the total cost into your Answer In y = mx + b form
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