Question

To mail a letter to Vienna, Austria the post office charges a flat rate of $8.75 and an additional $0.25 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.25x+8.75, where y is the cost of the postage and x is the weight of the letter in ounces. Find two points that satisfy the equation

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

`y=0.25x+8.75`

STEP 2: Get point 1

`\begin{gathered} When\text{ }x=10 \\ By\text{ substitution,} \\ y=8.75+0.25(10) \\ y=2.5+8.75 \\ y=11.25 \end{gathered}`

STEP 3: Get the second point

`\begin{gathered} When\text{ }x=15 \\ By\text{ substitution,} \\ y=8.75+0.25(15) \\ y=8.75+3.75=12.5 \\ y=12.5 \end{gathered}`

Hence, two points that satisfy the equation are given as:

`\begin{gathered} (10,11.25) \\ (15,12.5) \end{gathered}`