A baker packages 12 cupcakes to a box. Sean orders 5 boxes for his sister’s graduation party and 3.5 boxes for the variety show party. Write an expression that shows the calculations you could use to find the number of the cupcakes Sean orders.

5 × 12 + 3.5 × 12

Step-by-step explanation:

Given:

Number of cupcakes in each box = 12

Number of boxes ordered by Sean for his sister’s graduation party = 5

Number of boxes ordered by Sean for the variety show party = 3.5

To find: an expression that shows the calculations to find the number of the cupcakes Sean orders.

Solution:

( Number of boxes ordered by Sean for his sister’s graduation party × Number of cupcakes in each box ) + ( Number of boxes ordered by Sean for the variety show party × Number of cupcakes in each box )

= 5 × 12 + 3.5 × 12

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.