Question

middle" class="latex-formula">Carolina goes to a paintball field that charges an entrance fee of $18 and $0.08per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.

Answer 1

By expressing the total amount spent as a function and placing the value

of $75 as the amount spent, the number of balls to be bought can be found.

• The number of paintballs she needs to buy is 713 balls

Reasons for arriving at the above response value:

Given parameters;

The entrance fee = $18

The price per paintball = $0.08

The promotion = $10 off when the total spent is $75

Required parameter:

The number of paintball that is to be bought along with the entrance fee

to get the promotion.

Solution:

Expressing the situation using an equation;

Let x represent the number of paintballs Carolina needs to buy, we have,

the following linear function;

• 75 = 18 + 0.08·x

Solving for x, the number of Carolina needs to buy;

Therefore;

x = (75 - 18) ÷ 0.08 = 712.5

The value of x = 712.5 which is seven hundred and twelve and a half paintballs.

Given that half paintballs are not mentioned, an extra whole paintball is purchased to make the total paintballs = 713

The total amount = $18 + 713 × $0.08 = $75.04

Result;

Therefore;

• If Carolina buys 713 paintballs as well as paying $18 for the entrance fee, she will get the $10 off promotion.

Learn more about linear functions here:

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