Question

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $117 working at two separate work sites. Write an equation to describe the situation. Use h to represent the number of hours.

Please help asap and thanksss

Answer 1

y = mx + b

where,

y = earning

m = slope or earning per hour = $24

x = total number of hours

b = y intercept or initial earning upon visit = $45

Hence,

y = 24x + 45

Since we are working at two separate work sites, therefore each site we must earn 810/2 = 405

So when y = 405:

405 = 24x + 45

x = 15 hours

So you must work 15 hours at each site.

Explanation:

Answer 2

7.56 hours.

Explanation:

So my equation will be:

$45 + $24h

If we need to find out how many hours you have to work in order to earn $117 working at two separate work sites, the equation would look like this:

45 + 25h ÷ 2 = 117.

First we need to multiply both sides of th equation by 2.

`(2\left(45+25h\right))/(2)=117\cdot \:2`

Then, I had to simplify.

`5+25h=234`

After simplifying, it was about time to subtract 45 from both sides of the equation.

`45+25h-45=234-45`

I had to simplify again, then divide both sides by 25.

`25h=189`

`(25h)/(25)=(189)/(25)`

Again, I have to simplify for a final time to get the answer of..

`h=(189)/(25)`

In decimal form, thats equal to 7.56 hours.

h = 7.56.