Question

Audre has already read 21 pages of a book. She starts a timer and finds that she reads 30 pages in 6 minutes. If Audre reads at a constant rate, write a linear equation to represent the total number of pages y Audre reads in x minutes after starting the timer. Write your equation in slope-intercept form

Answer 1

y = 5x + 21

Explanation:

Let x be the number of minutes after starting the timer and y be the total number of pages Audre has read.

Since Audre reads 30 pages in 6 minutes, we can find the rate of reading (slope) as 30 pages ÷ 6 minutes = 5 pages per minute.

The equation in slope-intercept form can be written as:

y = mx + b

where m is the slope (5 pages per minute) and b is the y-intercept (21 pages). Plugging in the values, we get:

y = 5x + 21

This is the linear equation that represents the total number of pages Audre reads in x minutes after starting the timer.