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Danielle needs to have repairs done on her house and is looking to hire a plumber and an electrician. The cost of the plumber for t hours is by Plt) = 115+25t. The cost of the electrician for t hours is given by E(t) = 55t +75. If she plans to hire them both for the same amount of tim function represents the total cost, c(t), for the plumber and the electrician as a function of time?​

Answer :

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The total cost function is the sum of the two given functions, and this is equal to:

c(t) = 190 + 70*t

How to find the linear function for the total cost?

We know that:

  • The plumber charges p(t) = 115 + 25*t
  • The electrician charges e(t) = 55*t + 75.

If she hires both of them for the same time t, then the total cost function will be given by the sum of the two above functions, we will get:

c(t) = p(t) + e(t)

c(t) = (115 + 25*t) + (55*t + 75)

c(t) = (115 + 75) + (55*t + 25*t)

c(t) = 190 + 70*t

If you want to learn more about linear functions, you can read:

https://brainly.com/question/4025726

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