Question

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)

Explanation:

Step1: Find the slope (m)

The two points are \((4, 220)\) and \((7, 340)\). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute the values: \(m=\frac{340 - 220}{7 - 4}=\frac{120}{3}=40\).

Step2: Find the y-intercept (b)

Use the point - slope form \(y - y_1=m(x - x_1)\) with the point \((4, 220)\) and \(m = 40\).
\(y-220 = 40(x - 4)\)
Expand: \(y-220=40x-160\)
Add 220 to both sides: \(y=40x + 60\).

Answer:

\(y = 40x+60\)