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Steve provides lawn care services in his neighborhood. For each lawn he charges a flat fee of 6 dollars for clean up and 10 dollars per hour. Write an equation to represent the relationship the total charge, c, and the number of hours he works, h.

Answer :

Answer:

[tex]c(h) = 6 + 10h[/tex]

Step-by-step explanation:

We are given the following in the question:

Flat fee = 6 dollars

Charges per hour = 10 dollars per hour

Let Steve work for h hours.

Then, we can write the total charge in the following manner:

Total charge =

[tex]=\text{Flat fee} + (\text{Number of hours}\times \text{Charges per hour})[/tex]

Putting values, we get,

[tex]c(h) = 6 + 10h[/tex]

is the required equation for total charges if Steve worked for h hours.

akposevictor

The linear equation that models the relationship between the total charge and number of hours Steve worked is: c = 10h + 6.

What is a Linear Equation?

A linear equation representing a relationship between two variables, x and y, with an initial value of b, and a unit rate of m, is expressed as: y = mx + b.

Thus:

Flat fee = b = $6 (initial value)

m = $10 (unit rate)

y = c

x = h

Substitute the values into y = mx + b

c = 10h + 6

Therefore, the linear equation that models the relationship between the total charge and number of hours Steve worked is: c = 10h + 6.

Learn more about linear equation on:

https://brainly.com/question/15602982

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