a car rental cost 80 Per day for the first 270 miles plus 02

a car rental cost $80 Per day, for the first 270 miles, plus $0.20 for each additional mile. if Becca rental cost was $106 for a one day rental how many miles did she drive?

use the distance formula d=rt

if a cheetah runs at 19 meters per second for 7 seconds how far will it travel?

Solution

Problem 1 :

Car rental cost was $80 per day for the first 270 miles.

that means there is no additional charge for the first 270 miles, after that Becca has to pay $0.20 for each additional mile.

As in the given data Becca has paid $106 for a one day. Let us assume she travelled x miles more than first 270 miles

Car rental cost = Daily charge + (x * per additional mile charge)

Substitute the values we have in the above equation

106 = 80 + (x * 0.20)

subtract 80 from both sides we get

26 = 0.2x

Divide with 0.20 both sides

x = 26/0.2 = 130

So, she travelled 130 miles more than 270 miles.

Total distance she travelled for one day = 270 miles +130 miles = 400 miles

Answer is Becca drove 400 miles on that day.

Problem 2 :

As per the given data a cheetah runs 17 meters per second.

we have to find how far it will travel in 7 seconds.

Distance formula is d = rt

d = Distance

r = rate of speed

t = time of the travel

Here in this problem

r = 19 meters per second

t = 7 seconds

substitute the values in the formula we get

d = 19 * 7 = 133

So, the answer is Cheetah runs 133 meters in 7 seconds with a speed of 19 meters per second.