Question

Given the equation 6x + 18 = 72: Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points) Part B: Solve the equation showing all work. (4 points) Part C: Explain what the value of the variable represents. (2 points)
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Answer 1

Considering the linear function 6x + 18 = 72, it is found that:

A. The problem is: You made a number of services for $6, plus a base pay of $18, and earned $72. How many services you made?

B. The solution is: x = 9.

C. In the context of this problem, the solution means that you made 9 services.

What is a linear function?

The general format of a linear function is presented as follows:

y = mx + b.

In which the coefficients are:

• m is the slope, representing  the variable amount, that is, by how much y changes when x is increased by one.

• b is the y-intercept, which is the fixed amount.

In this problem, the equation is:

6x + 18 = 72.

From the given equation, considering the slope of 6 and the intercept of 18, the problem can be presented as follows:

You made a number of services for $6, plus a base pay of $18, and earned $72. How many services you made?

The solution is found isolating the variable x, as follows:

6x = 72 - 18

6x = 54

x = 54/6

x = 9.

The solution x = 9 represents the number of services that you made, in the context of this problem.

More can be learned about linear functions at brainly.com/question/24808124

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