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 the represents the length Y (in miles) of the barrier after X weeks.

The equation the represents the length Y (in miles) of the barrier after X weeks is y = (1/2)x + 13

A linear equation is in the form:

y = mx + b;

where m is the slope, b is the y intercept and y, x are variables.

Let y represent the length of the barrier after x weeks.

Since the crew builds 1/2 of a mile per week hence m = 1/2, Also the barrier is 13 miles long, hence b = 13, hence:

y = (1/2)x + 13

The equation the represents the length Y (in miles) of the barrier after X weeks is y = (1/2)x + 13

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y= 1/2x + 13

because the barrier is already 13 miles long, and they're adding 1/2 miles every week