To find the equation of the linear function, we first need to find the slope (m).
First, determine the change in y (total cost):
$340 - $220 = $120
Next, determine the change in x (number of cubic yards):
7 - 4 = 3 cubic yards
Now, calculate the slope:
m = $120 / 3 = $40
Next, determine the y-intercept (b) by substituting the slope and a point (4, $220) into the equation y = mx + b:
$220 = $40(4) + b
$220 = $160 + b
b = $220 - $160
b = $60
Therefore, the equation of the linear function 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 answer