A Mexican restaurant sells quesadillas in two sizes: a "large" 10 inch-round quesadilla and a "small" 5 inch-
round quesadilla. Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

Step-by-step explanation:

we know that

The area of a circle is equal to

where

r is the radius

step 1

Find the area of the 10 inch-round quesadilla

we have

substitute

step 2

Find the area of the 5 inch-round quesadilla

we have

substitute

step 3

Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?

Compare

half of the 10-inch quesadilla is equal to ---->

the entire 5-inch quesadilla ---->

therefore

Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

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