Taylor is 15 years younger than Marty. Twice Marty’s age added to three times Taylors age totals 205. What are the ages of Taylor & Marty?

Taylor's age = x = 35 years

Marty's age = y = 50 years

Step-by-step explanation:

Let

Taylor's age = x

Marty's age = y

Taylor is 15 years younger than Marty.

x = y - 15

Twice Marty’s age added to three times Taylors age totals 205.

205 = 2y + 3x Equation 1

Therefore, we substitute y - 15 for x in

205 = 2y + 3x Equation 1

205 = 2y + 3(y - 15)

205 = 2y + 3y - 45

Collect like terms

205 + 45 = 5y

250 = 5y

y = 250/5

y = 50 years

x = y - 15

x = 50 - 15

x = 35 years

Solving for x

Therefore:

Taylor's age = x = 35 years

Marty's age = y = 50 years

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.