Alocal charity sponsors a 5k race to raise money . it receives $55 per race entry and 10,000 in donations, but it must spend $15 per race entry to cover the cost of the race. write and solve an inequality to determine the number of race entries the charity needs to raise at least 55,000.

let the number of race entries be x

55x+10,000-15x =55000

55x-15x=55000-10000

40x=45000

x = 500

It must receive 500 race entries.

Step-by-step explanation:

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.