Answer:
2.17 months; June will have saved more than Beth after 2.17 months.
Step-by-step explanation:
Write a formula for each person showing the amount of money saved.
Beth: $150 + ($4/mo)x, where x is the # of months.
June: $100 + ($50/mo)x.
Equate these two formulas:
$150 + ($4/mo)x = $100 + ($50/mo)x
Solve for x. Combine like terms: $100= ($46/mo)x, or x = 2.17 months.
Now, using inequalities:
$150 + ($4/mo)x < $100 + ($50/mo)x
or: $100 < ($46/mo)x, or x > 2.17 months. After 2.17 months, June will have saved more than Beth (due to her saving much more per month than Beth).