Peter runs laps on the school track every afternoon. he wants to run no more than 45 minutes a day. he can consistently run each lap in 1.5 minutes. write an inequality that represents the situation

see the explanation

Step-by-step explanation:

Let

x ----> the number of laps

we know that

The number of laps multiplied by 1.5 minutes each must be at most 45 minutes.

The term "at most" means "less than or equal to"

The inequality that represent this situation is

solve for x

Divide by 1.5 both sides

The maximum number of laps is 30

match slope and y-intercept

y = -x + 3; m = -1, y-int = (0, 3)

for values in the table:

for any given pair of x and y, m = (y1-y2)/(x1-x2) = -1;

since m = -1, the point before (1,-4) would be y-int = (0, -3).

hence the two are not the same function.