David wants to start a lawn care business. He offers his clients two different service options: Plan A charges $20 per month plus $5 an hour. Plan B charges $30 per month plus $3 an hour. He used the system of equations below to determine how much money he can make on both plans. y = 5x + 20 y = 3x + 30 If x represents the number of hours he works, and y represents the total money he makes, how many hours would he have to work to make the same amount of money with both plans?

1440hrs

Step-by-step explanation:

he has to work 2 months and two months has 1440 hr

what is all that apply?

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.