Steven and Jennifer meet their friends at the movies and buys them popcorn and drinks. Steven spends $138.50 for 12 drinks and 5 bags of popcorn. Jennifer buys two drinks and seven bags of popcorn for a total of $57. How much was each drink and each bag of popcorn?

The cost of each drink was $9.25 and the cost of each popcorn was $5.5

Step-by-step explanation:

Let the cost of each drink be d

Let the cost of each popcorn be p

Steven spends $138.50 for 12 drinks and 5 bags of popcorn. This implies that:

12d + 5p = 138.50 (1)

Jennifer buys two drinks and seven bags of popcorn for a total of $57. This implies that:

2d + 7p = 57 (2)

We have two simultaneous equations/

12d + 5p = 138.50 (1)

2d + 7p = 57 (2)

Multiply (2) by 6 and subtract (1) from it:

12d + 42p = 342

- 12d + 5p = 138.50

———————————

37p = 203.5

p = $5.5

Puutting the value of p back in (2):

2d + 7(5.5) = 57

2d + 38.5 = 57

2d = 57 - 38.5 = 18.5

d = 18.5 / 2 = $9.25

The cost of each drink was $9.25 and the cost of each popcorn was $5.5

john earns $14.00 for two hours of work.

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.