Carolina goes to a paintball field that charges an entrance fee of $18 and $0.08 per 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,
Let B represent the number of paintballs that Carolina buys.
What inequality describes this scenario?
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Given : paintball field charges an entrance fee of $18 and $0.08 per ball.
The field has a promotion that says, "Get $10 off if you spend $75 or more
To Find : Inequality describing the scenario of getting $10 off
Solution:
B represent the number of paintballs
Cost per ball = $0.08
=> Total Cost of B balls = 0.08B $
Cost of Entrance = $18
Total cost = 0.08B + 18
$10 off if you spend $75 or more
=> Total cost must be 75 or more
Hence 0.08B + 18 ≥ 75
or
0.08B ≥ 57
=> B ≥ 712.5
Minimum 713 Balls
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