Aconstruction crew is lengthening a road. let y represent the total length of the road (in miles). let x represent the number of days the crew has worked. suppose that x and y are related by the equation y=59+4x . answer the questions below. note that a change can be an increase or a decrease. for an increase, use a positive number. for a decrease, use a negative number.

what was the road's length when the crew started working? miles

what is the change per day in the road's length? miles

The given expression is

Where represent miles and represents days.

If we analyse this expression, we would find that the initial condition is 59 miles, which means that when the started to work, the road was 59 miles long.

The second term of the expression expresses the ratio of change of the linear relation, which means that they work 4 miles per day.

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.