Question

The tuition T for one year at a college can be approximated by the equation T=1/8x+9 where x is the year since 2000, and T is tuition in thousands of dollars. Use this equation to estimate the tuition for one year at this college in 2020.

Answer 1

Given that the tuition T for one year is represented by the equation below

`T=(1)/(8)x+9`

Where x is the year since 2000, and T is in thousands of dollars

Statement of Problem: To find tuition for a year in 2020.

In other to find the tuition, we would first find x

Step 1: Find x

`\begin{gathered} x=2020-2000 \\ x=20 \end{gathered}`

After getting x to be 20, we would then substitute for x in the equation for the tuition

Step 2: Substitute for x

`\begin{gathered} T=(1)/(8)x+9 \\ T=(1)/(8)*20+9 \\ T=2.5+9 \\ T=11.5 \end{gathered}`

After getting T, let us find the value of T in thousands of dollars

Step 3: Find T in thousands of dollars

`\begin{gathered} T=11.5*\text{ \$1000} \\ T=\text{ \$11,500} \end{gathered}`

Hence, the tuition T for one year at this college in 2020 is $11,500