Question

Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles until he reaches a total of 26 miles per week. Which equation can be used to determine x, the number of weeks that it will take Andy to reach his goal?

Answer 1

Answer:

$1.5x+12=26$

Step-by-step explanation:  

Let x be the number of weeks that it will take Andy to reach his goal.

We have been given that Andy currently runs a total of 12 miles per week. He plans to increase that number by 1.5 miles, so number of miles increased in x weeks will be 1.5x and total number of miles ran in x weeks will be 1.5x+12.

Since Andy wants to reach a total of 26 miles per week, so we will equate the total number of miles ran in x weeks with 26.

$1.5x+12=26$

Therefore, the equation $1.5x+12=26$ can be used to determine x, the number of weeks that it will take Andy to reach his goal.