Answered

Get the information you need from a community of experts on IDNLearn.com. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

Which of the following situations cannot be modeled with the equation [tex]5x - 15y = 335[/tex]?

A. Randy earns [tex]\$5[/tex] for each hour he works at his job and spends [tex]\$15[/tex] each time he goes out to dinner. He has [tex]\$335[/tex] at the end of the week.

B. A hamburger sells for [tex]\$5[/tex] but costs [tex]\[tex]$0.15[/tex] to make, giving a net income of [tex]\$[/tex]3.35[/tex].

C. Ruby is paid for the 5 sales she made but docked for the 15 sales she missed for a net income of [tex]\$335[/tex].

D. Tommy earned points for 5 correct answers on a standardized test but was docked for 15 incorrect answers for a point total of 335.

Sagot :

GinnyAnsweridn
To determine which situation cannot be modeled by the equation [tex]\(5x - 15y = 335\)[/tex], let’s analyze each option:

### Option A:
Randy earns [tex]\(\$5\)[/tex] for each hour he works and spends [tex]\(\$15\)[/tex] each time he goes out to dinner. He has [tex]\(\$335\)[/tex] at the end of the week.

Let:
- [tex]\(x\)[/tex] be the number of hours Randy works.
- [tex]\(y\)[/tex] be the number of times Randy goes out to dinner.

The equation modeling his earnings and expenditures would be:
[tex]\[ 5x - 15y = 335 \][/tex]

So, Option A can be modeled by the equation.

### Option B:
A hamburger sells for [tex]\(\$5\)[/tex] but costs [tex]\(\$0.15\)[/tex] to make, giving a net income of [tex]\(\$3.35\)[/tex].

Let:
- [tex]\(x\)[/tex] be the number of hamburgers sold.

The net income per hamburger would be:
[tex]\[ 5 - 0.15 = 4.85 \][/tex]

If we multiply the number of hamburgers [tex]\(x\)[/tex] by this net income, the total income would be:
[tex]\[ 4.85x \][/tex]

However, we need the net income (total income minus total cost) to equal [tex]\(\$3.35\)[/tex]:
[tex]\[ 4.85x = 3.35 \][/tex]

This does not align with the equation [tex]\(5x - 15y = 335\)[/tex], since there's no [tex]\(y\)[/tex] involved or a clear way to adapt the situation to fit the format. So, Option B cannot be modeled by the equation.

### Option C:
Ruby is paid for the 5 sales she made but docked for the 15 sales she missed for a net income of \$335.

Let:
- [tex]\(x\)[/tex] be the number of sales made.
- [tex]\(y\)[/tex] be the number of sales missed.

The equation modeling this would be:
[tex]\[ 5x - 15y = 335 \][/tex]

So, Option C can be modeled by the equation.

### Option D:
Tommy earned points for 5 correct answers on a standardized test but was docked for 15 incorrect answers for a point total of 335.

Let:
- [tex]\(x\)[/tex] be the number of correct answers.
- [tex]\(y\)[/tex] be the number of incorrect answers.

The equation modeling this would be:
[tex]\[ 5x - 15y = 335 \][/tex]

So, Option D can be modeled by the equation.

### Conclusion:
The situation that cannot be modeled by the equation [tex]\(5x - 15y = 335\)[/tex] is Option B.
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Thank you for choosing IDNLearn.com. We’re here to provide reliable answers, so please visit us again for more solutions.