It took peter 3 hours to drive to his friend in connecticut when he was driving with the average speed 54 mph. b find the constant of variation

The constant of variation is, 162 miles

Step-by-step explanation:

Constant of variation states that a number relates with two variables that are directly proportional or inversely proportional to each another.

As per the given statement:

Peter tooks 3 hours to drive to his friend in Connecticut when he was driving with the average speed 54 mph.

Since, the distance(D) between Peter to his friend in Connecticut always be same(i.e constant).

Given: Speed = 54 mph and Time = 3 hours

Formula for speed given by:

Since, distance is constant.

D =

Therefore, constant of variation is, 162 miles

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.

3

step-by-step explanation: