Question
The temperature, t, in Burrtown starts at 21^circ F at midnight, when h=0. For the next few hours, the temperature drops 4 degrees every hour. Which equation represents the temperature, t, at hour h? t=21h+4 B. t=4h+21 C. t=-21h+4 D. t=-4h+21
Solution
4.3
(210 Votos)
Igor
Elite · Tutor por 8 anos
Resposta
D.
Explicação
## Step 1The problem provides us with the initial temperature at midnight, which is 21 degrees Fahrenheit. This is our starting point or y-intercept in the equation of a line.## Step 2The temperature drops by 4 degrees every hour. This means that for each hour that passes, the temperature decreases by 4 degrees. This is our slope or rate of change in the equation of a line.## Step 3The slope is negative because the temperature is decreasing. Therefore, the slope is -4.## Step 4Using the slope-intercept form of a linear equation,
, where
is the slope and
is the y-intercept, we can write the equation for the temperature,
, at hour
as
.