To find the equation of the linear function, we need to calculate the slope (m) and y-intercept (b) using the given data points.
First, let's find the slope:
m = (y2 - y1) / (x2 - x1)
m = (340 - 220) / (7 - 4)
m = 120 / 3
m = 40
Now, let's find the y-intercept by substituting one of the data points into the equation:
Using the point (4, 220):
220 = 40(4) + b
220 = 160 + b
b = 220 - 160
b = 60
Therefore, 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+b form.(1 point)
1 answer