Question

You are a contractor and charge 45$ for a site visit plus an additional 24$ per hour for each hour you spend working on the site.Write and solve an equation to determine how many total hours you have to work to earn 810$ working on two spectate sites

Answer 1

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, 30 in total.