Question

If 5 deli sandwiches cost 29.75, how much will 8 sandwiches cost?

Answer 1

Answer: $47.60

Step-by-step explanation:

Equation for direct variation between two variables x and y .

$\dfrac{x_1}{y_2}=\dfrac{x_2}{y_2}$             (1)

We assume that the cost of sandwiches is directly proportional to the number of sandwiches .

Given : 5 deli sandwiches cost $29.75.

To find : Cost of 8 sandwiches.

Put $x_1=5 ,\ y_1=29.75 ,\ x_2=8,\ y_2=y$ in equation (1)

$\dfrac{5}{29.75}=\dfrac{8}{y}\\\\\Rightarrow\ y=\dfrac{8\times29.75}{5}\\\\\Rightarrow\ y=47.60$  

Hence, the cost of 8 sandwiches = $47.60

Answer 2

$47.06 would be the total of each sandwich, each sandwich would be $5.95 each so we know that for 5 sandwiches the total is $29.75 so we add $17.85 more and it would give you the total of $47.06.