Mariah is training for the marathon. Today she ran 12 miles for 1 hour and 30 minutes . If the relationship between her distance covered and the number of minutes is proportional, write an equation that Mariah can use to represent the proportional relationship between her distance ( d ) and her time ( t).

d= 8 t

Step-by-step explanation:

In 1 hour 30 minutes it ran for 12 miles.

So, time t =1.5 hours(Because 1 hour 30 minutes)

distance d =12

We know distance d= rate 'r' * time 't'.

So, using given information , find the rate

12= r *1.5

Divide both sides by 1.5

8=r

So,  equation would be d =8 t.

Where 't' is in hours.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.