Katleen16
contestada

Daniel is working two summer jobs, making $8 per hour babysitting and making $15
per hour lifeguarding. In a given week, he can work a maximum of 18 total hours and
must earn no less than $200. If Daniel worked 3 hours babysitting, determine the
minimum number of whole hours lifeguarding that he must work to meet his
requirements. If there are no possible solutions, submit an empty answer,​

Respuesta :

alianioisaunicorn

Answer:

18 hours

Step-by-step explanation:

First, he worked 3 hours babysitting, so he already made 8*3=24 dollars.

This means he must work 200-24=176 dollars lifeguarding.

Divide that by how much he makes per hour, and 176/15=11.7333 hours lifeguarding.

Round that up if he can't do a fraction of an hour to get 12 hours lifeguarding.

This is possible because the total hours worked is 12+3=15, which is less than 18.

The minimum number of hours lifeguarding that Daniel must work to meet his requirements = 12

What is equation?

"An equation is a mathematical expression which contains equal symbol."

Approximate to nearest whole number:

If the digit after decimal is less than 5 then keep the number before decimal as it is and remove the decimal part.

If the digit after decimal is 5 or greater than 5 then add 1 to the number before decimal and remove the decimal part.

From given information,

Daniel is making $8 per hour babysitting and $15 per hour lifeguarding.

In a week, Daniel can work a maximum of 18 total hours and must earn no less than $200.

Daniel has worked 3 hours babysitting.

This means, Daniel earns 3 × 8 = 24 dollars

So, out of $200 he has earned 200 - 24 = 176 dollars

Suppose Daniel worked 'm' hours as lifeguarding.

So, he earned m × 15 = 176

We need to solve above equation to find the number of hour Daniel must lifeguarding.

⇒ 15 × m = 176

⇒ m = 176/15                  .....................(Divide each side by 15)

⇒ m = 11.73

⇒ m ≈ 12 hours

So, the minimum number of whole hours = 12

This means, Daniel must work 12 hours lifeguarding to meet his requirements.

Learn more about equation here:

https://brainly.com/question/13170101

#SPJ2

Otras preguntas