-12 -72
-10
3. Which situation best represents the equation x - 15 = 60?
A Sandy collects sea shells. She had 60 shells, but then she gave away 15. How many does she have left?
BM Win is 15 years younger than his brother. His brother is 60 years old. How old is Mr. Win?
C. The school band is selling raffle tickets. They have already sold 15 tickets and there are 60 left.
How many rame tickets did they start with?
D. Daniela measures a 15 inch piece of rope and attaches it to another piece of rope. Together, the two
ropes are 60 inches in length. How long was the piece of rope that she attached?
4. An equation is modeled below using algebra tiles. Which value of x makes the
equation true?
1

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.

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184

so part 1: the y values stay the same, but the x values are opposite signs.

part 2 & 3: the line will be of equal lengths and will be straight.

part 4: you'd see the same characteristic because the x coordinate becomes a negative making them at equal distances from the y axis?