Question

1. the table below shows the cost of various products at a souvenir shop.

item	cost
mug	0.50x
flip flops	3x + 4

write an expression that represents the cost to buy 2 t - shirts and 2 mugs.

a. 5x - 10
b. 4x - 9
c. 5x + 10
d. 4x - 25

Explanation:

Step1: Find cost of 2 T - shirts

The cost of one T - shirt is $2x - 5$. So the cost of 2 T - shirts is $2\times(2x - 5)$.
Using the distributive property $a(b + c)=ab+ac$, we have $2\times(2x - 5)=2\times2x-2\times5 = 4x-10$.

Step2: Find cost of 2 mugs

The cost of one mug is $0.5x$. So the cost of 2 mugs is $2\times0.5x$.
$2\times0.5x=x$.

Step3: Find total cost

To find the total cost of 2 T - shirts and 2 mugs, we add the cost of 2 T - shirts and 2 mugs.
Total cost $=(4x - 10)+x$.
Combine like terms: $4x+x-10=5x - 10$.

Answer:

a. $5x - 10$