Suppose that a gallon of paint that covers 250 square feet of wall costs $32.50. For each paint order, the paint store charges a $4 stocking fee. The paint store allows customers to purchase fractional gallons of paint. Let h be the function that determines the number of gallons of paint needed to paint x square feet of wall. Let g be the function that determines the cost (in dollars) of purchasing n gallons of paint. a. Answer each of the following: i. What is the input variable to the function h? Preview ii. What does g(h(x)) represent? OThe cost (in dollars) of purchasing paint to paint x feet of wall. OThe cost (in dollars) of x gallons of paint. The cost (in dollars) of purchasing paint for x square feet of wall. iii. What quantity links the function h and the function g? The number of square feet of wall to be painted. The number of gallons of paint OThe cost g(n) of n gallons of paint. b. Define the function h that determines the number of gallons of paint needed to paint x square feet of wall. 3 Preview c. Define the function g that determines the cost (in dollars) of purchasing n gallons of paint. (Don't forget the stocking fee of $4 per order). g(n)=.13n+4 Preview d. Use g and h to define a function that determines the cost (in dollars) to paint x feet of wall. g(h(x)) Preview

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.