Question

Jason runs the same distance each day. In one 7 day period he ran 40 1/4 miles. He knows that there is a proportional relationship between n, the number of days and t, the total distance he runs. Tell whether each is true or false

Answer 1

Answer:

The total distance that Jason run is given by relation t = $\dfrac{23 n}{4}$ miles .

Step-by-step explanation:

Given as :

Jason runs the same distance each day.

The distance cover by Jason on 7 days = 40 $\dfrac{1}{4}$ = $\dfrac{161}{4}$ miles

Let The number of days = n days

And The total distance = t miles

Now, According to question

Applying unitary method

∵ The distance cover by Jason in 7 days = $\dfrac{161}{4}$ miles

Or,The distance cover by Jason in 1 day = $\frac{\frac{161}{4}}{7}$ miles

∴ The distance cover by Jason in n day = $\frac{\frac{161}{4}}{7}$ × n

I.e t = $\dfrac{161 n}{28}$ miles

Or, t = $\dfrac{23 n}{4}$ miles

Hence, The total distance that Jason run is given by relation t = $\dfrac{23 n}{4}$ miles . Answer