Question

The tempature,t, in burr town starts at 32 at midnight , when h=0. For the next few hours,the temperature drops 2 degrees every hour.

Answer 1

We find the equation that represents the temperature (t) at hour (t) using the slope-intercept form and it is:

`t = -2 h + 32`

The temperature, t, in Burrtown starts at 32°F at midnight, when
`h = 0`. This represents the y-interception of the right line, when
`h=0` hours,
`t=32^\circ\text{F}`:

`\text{Point}=(h,t)\longrightarrow Point=(0,32)=(0,b)\longrightarrow b=32`

For the next few hours, the temperature drops 2 degrees every hour. This represents the slope of the line (m):
`m=-2`, negative because the temperature drops.

Slope-Intercept form:

`y=mx+b: y=t, m=-2, x=h, b=32`

Replacing the values:

`\boxed{\bold{t=-2h+32}}`

Complete Question-

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. For the next few hours, the temperature drops 2 degrees every hour. Which equation represents the temperature, t, at hour h?