Question

CR9. Catherine has two jobs. She earns $10 per hour walking dogs in the neighborhoodand $13 per hour working at the public library.Write an inequality to represent the number of hours, x, walking dogs and the numberof hours, y, working at the public library that Catherine will need to work to earn aminimum of $250. b. Catherine walked dogs for 5 hours. Use the inequality to find the number of full hours she must work at the public library to reach her goal of $250.

Answer 1

The inequality is:

`10x+13y\ge250`

Step-by-step explanation:

Given that Catherine earns $10 per hour walking dogs, and $13 per hour working at the public library,

If Catherine needs to earn a minimum of $250, then:

`10x+13y\ge250`

If Catherina walked dogs for 5 hours, this means x = 5.

We can then solve for y to know how many hours she must work to reach her goal of at least $250

`\begin{gathered} 10(5)+13y\ge250 \\ 50+13y\ge250 \\ 13y\ge250-50=200 \\ y\ge(200)/(13)=15.38 \end{gathered}`