Gabriel owns a small textile company that produces shirts. On a particular day, Gabriel has one worker come into the shop to make shirts. He must pay the worker $14 per hour and also pay $3 per shirt for material costs. The worker created an average of 3 shirts per hour and Gabriel's total expenses for labor and materials were $230. Write a system of equations that could be used to determine the number of hours the worker worked and the number of shirts the worker made. Define the variables that you use to write the system.

Step-by-step explanation:

>First lets break down the problem...

Worker Pay : $14 per hour

Material Costs : $3 per shirt

Average 3 shirts per hour is made

Total expenses : $230

>Now create variables

Worker pay : 14h (h is hours)

Material Costs: 3s ( s is shirts)

Shirts made : 3sh (sh is shirts per hour)

> Plug-in variables to make an equation

14h + 3s = 230

>Solve if needed ( Use the Substitution Property)

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4