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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 $810 working at two separate work sites

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barnuts

The equation relating this should be linear since the increase in amount earned is constant throughout which is $24 per hour. The equation is in the form:

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.

onyebuchinnaji

The total hours you need to work on the two sites to earn the given amount is 30 hours.

The given parameters:

  • cost of site visit = $45
  • additional cost per hour = $24
  • total amount earned during the visit for two sites = $810
  • amount earned in a single site = 0.5 x $810 = $405

Let the number of hours you worked on a site = y

The following equation will be set-up for a site;

45 + 24y = 405

Now, solve for y;

24y = 405 - 45

24y = 360

[tex]y = \frac{360}{24} = 15 \ hours[/tex]

The total time for the two sites = 2 x 15 hours = 30 hours

Thus, you will need to work a total of 30 hours to earn the total amount of money given.

Learn more: https://brainly.com/question/16889590

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