/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 321 Jocelyn desires to increase both... [FREE SOLUTION] | 91影视

91影视

Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35more grams of protein each day and no more than an additional 200calories daily. An ounce of cheddar cheese has 7grams of protein and 110calories. An ounce of parmesan cheese has 11grams of protein and 22calories.

鈸 Write a system of inequalities to model this situation.

鈸 Graph the system.

鈸 Could she eat 1ounce of cheddar cheese and 3ounces of parmesan cheese?

鈸 Could she eat 2ounces of cheddar cheese and 1ounce of parmesan cheese?

Short Answer

Expert verified

Part 鈸 System of inequalities to model this situation is:7c+11p35110c+22p200

Part 鈸 Graph of the system of inequalities:

鈸 Jocelyn can eat 1ounce of cheddar cheese and 3ounces of parmesan cheese.

鈸 Jocelyn cannot eat 2ounces of cheddar cheese and 1ounce of parmesan cheese.

Step by step solution

01

Part (a) Step 1. Finding the system of inequalities  

Let, cbe the number of ounces of cheddar cheese and pbe the number of ounces of parmesan cheese.

Jocelyn desires to have at least 35more grams of protein each day. An ounce of cheddar cheese has 7grams of protein and parmesan cheese has 11grams of protein. So, the inequality is: 7c+11p35.

Jocelyn needs no more than an additional 200calories daily. An ounce of cheddar cheese has 110calories. An ounce of parmesan cheese has 22calories. So, the inequality is: localid="1653360883294" 110c+22p200.

Therefore, the system of inequalities is: localid="1653360886935" 7c+11p35110c+22p200

02

Part (b) Step 1. Graphing the system of inequalities  

Below is the graph of the system of inequalities: 7c+11p35110c+22p200

03

Part (c) Step 1. Finding whether Jocelyn can eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese

As the point (1,3)is in the double shaded region of the graph, so, Jocelyn can eat 1ounce of cheddar cheese and 3ounces of parmesan cheese.

04

Part (d) Step 1. Finding whether Jocelyn can eat 2 ounce of cheddar cheese and 1 ounces of parmesan cheese 

As the point (2,1)is not in the double shaded region of the graph, so, Jocelyn cannot eat 2ounces of cheddar cheese and ounce of parmesan cheese.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Translate to a system of equations and solve:

Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her \(6 per pound. Peanuts are \)4 per pound and cashews are $9 per pound. How many pounds of peanuts and how many pounds of cashews should she use?

In the following exercises, translate to a system of inequalities and solve.

Roxana makes bracelets and necklaces and sells them at the farmers鈥 market. She sells the bracelets for \(12 each and the necklaces for \)18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit.

鈸 Write a system of inequalities to model this situation.

鈸 Graph the system.

鈸 Should she display 26 bracelets and 14 necklaces?

鈸 Should she display 39 bracelets and 1 necklace?

Jamal is making a snack mix that contains only pretzels and nuts. For every ounce of nuts, he will use 2 ounces of pretzels. How many ounces of pretzels and how many ounces of nuts does he need to make 45 ounces of snack mix?

Caitlyn sells her drawings at the county fair. She wants to sell at least 60drawings and has portraits and landscapes. She sells the portraits for \(15and the landscapes for \)10. She needs to sell at least $800worth of drawings in order to earn a profit.

鈸 Write a system of inequalities to model this situation.

鈸 Graph the system.

鈸 Will she make a profit if she sells 20portraits and 35landscapes?

鈸 Will she make a profit if she sells 50portraits and 20landscapes?

Without graphing, determine the number of solutions and then classify the system of equations.

-2x4y=8y=-12x-2

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.