The department of streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year. the cost of resurfacing a mile of 2-lane road is estimated at $84,000. the average starting salary of a worker in the department is $36,000 a year,

the city is planning to hire 6 new workers and to use its entire budget.

a. which equation should be used to find out how many miles of 2-lane roads it could resurface? explain your reasoning

b. find the number of miles of 2-lane roads the city could resurface if it hires 6 new workers.

a = 11 : 4

b = 38

c = 1 for every 6

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.