Tina has two part-time jobs.
- She earns $12 per hour working at a store.
- She earns $30 per lawn mowed working for a landscaper.
Her goal is to earn $1,800 to pay her monthly expenses.
The situation can be modeled by the formula below, where g represents the hours Tina works in the grocery store and m represents the number of lawns mowed.
1,800=12g+30m
After Tina learns how many hours she is scheduled to work in the grocery store, she has to figure out how many lawns she needs to mow that month.
Which equation shows the formula correctly rearranged to find m given g?
m = -5/2g + 1,800
m = -2/5g + 60
m = -5/2g + 150
m = -2/5g + 1800
To find the equation that correctly rearranges the formula to find 'm' given 'g,' we need to isolate 'm' on one side of the equation.
The original formula is:
1,800 = 12g + 30m
Step 1: Move the term with 'g' to the other side of the equation by subtracting 12g from both sides:
1,800 - 12g = 30m
Step 2: Divide both sides of the equation by 30 to isolate 'm':
(1,800 - 12g) / 30 = m
Simplifying the equation further, we get:
60 - (2/5)g = m
So, the correct equation rearranged to find 'm' given 'g' is:
m = -2/5g + 60
Therefore, option:
m = -2/5g + 60 is the equation that shows the formula correctly rearranged to find 'm' given 'g'.