Rachael ordered early learning software for her daughter from an online retailer. Each item costs $6.50, and there is a shipping fee of $8.50 for the entire order.

a. What is the cost of Rachel's order if she buys 7 items? Show your work and label.

b. Write an equation to describe this situation. Let s represent the number of software items ordered and c represent the total cost of the order.

c. Use your equation to determine how many items Rachel ordered if her total cost was $80. Show your work and label.

Step-by-step explanation:

Each item costs $6.50, and there is a shipping fee of $8.50 for the entire order.

a) if she buys 7 items, the cost of the item would be

(7 × 6.5) + 8.5

= $54

b) Let s represent the number of software items ordered and c represent the total cost of the order. Therefore, the equation describing this situation is

6.5s + 8.5

c) if her total cost was $80, it means that

6.5s + 8.5 = 80

6.5s = 80 - 8.5

6.5s = 71.5

s = 71.5/6.5

s = 11

She ordered 11 items.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.