Your teacher asks you to find a recipe that includes two ingredients with a ratio of 1/2 cup/ 1/8 cup. a. give an example of two ingredients in a recipe that would meet this requirement. b. if you needed to triple the recipe, would the ratio change? explain. c. what is the unit rate of the ingredients in your recipe? explain and work it out! you!

case a) Give an example of two ingredients in a recipe that would meet this requirement

The example is with flour and sugar

Let

x--------> the number of cups of flour

y-------> the number of cups of sugar

we know that

Part b) If you needed to triple the recipe, would the ratio change?

If the recipe is tripled, the ratio does not change, because both the amount of flour and the amount of sugar will also triple, leaving the ratio constant.

Example

Part c) What is the unit rate of the ingredients in your recipe?

we know that

A unit rate is a rate in which the second rate is 1 unit

in this problem the unit rate is equal to

That means the recipe requires cups of flour per cup of sugar

therefore

the answer Part c) is

The unit rate is equal to

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.