kenn35
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

Sagot :

MrRoyal

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

[tex]y \to[/tex] amount of drinks

[tex]x \to[/tex] number of drinks

For drinks not more than 50

[tex]y = 10 + 0.8x[/tex]

For drinks more than 50.

[tex]y = 15 + 0.7x[/tex]

For a purchase of $85, it means that:

[tex]y = 85[/tex]

So, we solve for x in both equations.

[tex]y = 10 + 0.8x[/tex]

[tex]85 = 10 + 0.8x[/tex]

Collect like terms

[tex]0.8x = 85-10[/tex]

[tex]0.8x = 75[/tex]

Divide through by 0.8

[tex]x = 93.75[/tex]

[tex]x = 94[/tex] --- approximated

[tex]y = 15 + 0.7x[/tex]

[tex]85 =15 + 0.7x[/tex]

Collect like terms

[tex]0.7x = 85 - 15[/tex]

[tex]0.7x = 70[/tex]

Divide by 0.7

[tex]x = 100[/tex]

By comparing both values:

[tex]x = 100[/tex]

[tex]x = 94[/tex]

[tex]100 > 94[/tex]

Hence, the maximum amount that can be purchased is 100

Read more about functions at:

https://brainly.com/question/20286983

Aviatzi

Answer: The maximum amount of sports drinks you can purchase for $85 is 100

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

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.