Question

Jasón runs the same distance each day. In one 7 - day period he ran 40 1/4 miles. He knows that there’s is a proportional relationship between n, the number of days, and t, the total distance he runs. Tell whether each statement is true or false

Answer 1

a. The relationship can be expressed as n=5.25t

He ran 40.25 miles in 7 days, he ran (40.25)/7=5.75 miles per day.

n is the number of days, and t, the total distance he runs. Then:

`t=5.75n`

The statement a is false.

b. The graph of the equation is a straight line through (0,0)

This is correct because we have a linear equation in which the y-intercept is at (0,0)

The statement b is true.

c. The unit rate is 5.75.

The statement c is true as we saw with the division at the beggining.