Bounce Parties charges $20 per hour plus $80 for an inflatable rental. Jump Jump Bounce charges $30 per hour plus $30 for an inflatable rental. At a certain point, both of the companies cost the same for the same amount of hours. How many hours of rental will both companies cost the same? and how much will it cost?

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Ответ:

clairajogriggsk

01.03.2020

Mathematics

$T_w = \frac{11 + w}{4}$

Step-by-step explanation:

Given

Starts = 3 miles

$Difference = \frac{1}{4}\ mile$

Required

Determine the distance for w weeks

This will be calculated using the following Arithmetic progression formula

T_n = a +(n -1) d

Where

a =3

n = w

$d = \frac{1}{4}$

Substitute these values

$T_w = 3 + (w - 1)* \frac{1}{4}$

Open Bracket

$T_w = 3 + \frac{1}{4}w - \frac{1}{4}$

Collect Like Terms

$T_w = 3 - \frac{1}{4} + \frac{1}{4}w$

$T_w = \frac{11}{4} + \frac{1}{4}w$

Take LCM

$T_w = \frac{11 + w}{4}$

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