Answer:
Step-by-step explanation:
Given:
Option a:
Down payment, Da = $200
Monthly fee, Ma = $50
Option B:
Down payment, Db = $500
Monthly fee, Mb = $25
Monthly fee, M = payment, P/number of months, n
Total cost, Pc = down payment, D + payment, P
Equating both options we have:
500 + 25 × n = 200 + 50 × n
500 + 25n = 200 + 50 n
25n = 300
n = 300/25
= 12 months
At 12 months, both payment options will be the same.
The jumping jacks are the dependent variable and the time is the independent variable because the jumping jacks depend on the amount of time you're doing it for.
let x be the number of adults
let y be the number of child
3.5 x + 2.25 y = 50
x+ y =20 y = 20 - x
3.5 (20-y ) + 2.25 y = 50
70 - 3.5 y +2.25y =50
70 -1.25 y = 50
y = 16
and x = 4