Algebraic equations in 10th grade math

Question

You mow the lawn to earn your allowance. Each time you mow the lawn you earn 12$. Write an equation for the number of dollars, d, you earn when you mow the lawn m times. How many dollars will you earn if you mow the lawn 10 times?

Answer 1

Hello Kanas,

Let's replace the variables with numbers to help it make sense.

If you mow the lawn once you make $12 x 1 time = $12

If you mow the lawn twice you will make $12 x 2 times = $24

If you mow the lawn three times, you will make $12 x 3 times = $36

Hopefully you see the pattern that d (the total dollars) = $12n (n is the number of times you mow). So if you mow the lawn 10 times then the total dollars earned is $12 x 10 or using the equation, d = $12 x 10. So d = $120.