Print The table shows the distance Allison drove on one day of her vacation. Is the relationship between the
distance and the time a proportional relationship? Did she drive at a constant speed? Complete the
explanation.
Time (h)
Distance (mi)
1
60
2
100
3
180
4
280
5
250
Allison (select) drive at a constant speed.
The rates (select) v equal because her speed (select)

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step-by-step explanation:

14

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.