Question

A construction crew is extending a highway sound barrier that is 13 miles long. The crew builds 1/2 of a mile per week. Write an equation in slope-intercept form that represents the length y (in miles) of the barrier after x weeks.

Answer 1

y = (1/2)x + 13

Explanation:

slope-intercept form of a linear equation: y = mx + b

y = length of the barrier (miles)

x = number of weeks

Slope (m) = rate at which the construction crew builds the barrier

= 1/2 mi/wk

The initial length of the barrier (y-intercept) is 13 miles.

Therefore, the equation in slope-intercept form that represents the length of the barrier after x weeks is:

y = (1/2)x + 13