To find the equation of the linear function, we need to determine the slope (m) and the y-intercept (b).
First, let's find the slope. The slope is the change in cost divided by the change in the number of cubic yards of soil ordered:
m = (340 - 220) / (7 - 4)
m = 120 / 3
m = 40
Next, we can find the y-intercept by substituting the values of m, x, and y into the linear function equation:
220 = 4(40) + 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 and the total cost 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 + 6 form.
1 answer