Question

Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.

Answer 1

Explanation:

Eric started by swimming laps = 12

And increases number of laps each week = 3 laps

If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,

y = 12 + 3x

Slope of the equation when graphed = 3

y - intercept of the equation = 12

Therefore, Slope of the equation represents the increase in laps per week.

And y-intercept represents the number of laps at the starting.