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 = me + b form.
(1 point)

1 answer

Let the number of cubic yards of soil ordered be x and the total cost be y.

Using the information given, we can create two equations:

1) 4a + 220 = y
2) 7a + 340 = y

To find the linear function, we need to find the slope (m) and the y-intercept (b).

From equation 1, we can rearrange and solve for y:
y = 4x + 220

From equation 2, we can rearrange and solve for y:
y = 7x + 340

So 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 = 4x + 220 (in slope-intercept form)