Two Grade 7 students, Monique and Matt, both solved the following math problem: If the temperature drops from 7°F to -17°F, by how much did the temperature decrease? The students came up with different answers. Monique said the answer is 24°F, and Matt said the answer is 10°F. Who is correct? Explain, and support your written response with details .

It decreased by 24F not 10F because if it were 10F the starting temperature had to be -7F since the difference between this number and -17F is 10F but in this case it starts at 7F so we subtract 7-0=7 and 17-0=17 and add 17+7=24F.

Step-by-step explanation:

7-0=7

17-0=17

17+7=24F

7.3

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.