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sdas [7]
3 years ago
6

A high school sports team is ordering sports drinks online from a company. The price of sports drinks varies, based on the numbe

r of drinks purchased. For orders of 50 or fewer sports drinks, the price is $0.80 per drink, plus $10 shipping and handling. When more than 50 sports drinks are ordered, the price is $0.70 per drink, plus $15 shipping and handling. What is the maximum amount of sports drinks you can purchase for $85?
88
94
100
121
Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0

The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.

Let

y \to amount of drinks

x \to number of drinks

For drinks not more than 50

y = 10 + 0.8x

For drinks more than 50.

y = 15 + 0.7x

For a purchase of $85, it means that:

y = 85

So, we solve for x in both equations.

y = 10 + 0.8x

85 = 10 + 0.8x

Collect like terms

0.8x = 85-10

0.8x = 75

Divide through by 0.8

x = 93.75

x = 94 --- approximated

y = 15 + 0.7x

85 =15 + 0.7x

Collect like terms

0.7x = 85 - 15

0.7x = 70

Divide by 0.7

x = 100

By comparing both values:

x = 100

x = 94

100 > 94

Hence, the maximum amount that can be purchased is 100

Read more about functions at:

brainly.com/question/20286983

Mumz [18]3 years ago
3 0

Answer: The maximum amount of sports drinks you can purchase for $85 is <u><em>100</em></u>

Step-by-step explanation:

When you solve for x using the equations

85=10+0.8x and 85=15+0.7x

you get 93.7 and 100

93.7 rounded to the nearest whole number is 94

100>94

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