Question

Task 1

Answer 1

Answer:

Expression for the number of tiles Bruce used : 5x+2

Expression for the number of tiles Felicia used : 5x + 5

Further Explanation  

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the introduction for the task

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

We can translate those in to expression of One variable linear equation (x = number of tiles)

Bruce

He bought three boxes ⇒ 3x

He only used two tiles from the last box  ⇒ 2x + 2

Total tiles of Bruce used : 3x+2x+2 = 5x+2

Felicia

She bought five boxes  ⇒ 5x

She get an extra five tiles to finish the job. ⇒ 5 tiles

Total tiles of Felicia used : 5x+5

Step-by-step explanation:

Answer 2

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph.