Question

Use your equation to determine the temperature at an altitud of 5000 feet. altitude (ft), x 4000 6000 Temp (°F), y 43 35

Answer 1

The form of the equation is

y = m x + b

m is the rate of change

b is the initial value

`m=(\Delta y)/(\Delta x)`

let us use the data in the table to find m

`m=(43-35)/(4000-6000)=(8)/(-2000)=-(1)/(250)`

Substitute it in the form of the equation above

`y=-(1)/(250)x+b`

To find b substitute x by 4000 and y by 43

`\begin{gathered} 43=-(1)/(250)(4000)+b \\ 43=-16+b \\ 43+16=-16+16+b \\ 59=b \end{gathered}`

Substitute it in the equation

`y=-(1)/(250)x+59`

Now substitute h by 5000 to find F

`\begin{gathered} y=-(1)/(250)(5000)+59 \\ y=-20+59 \\ y=39 \end{gathered}`

The temperature at altitude 5000 feet is 39 F

The answer is 39