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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

Pergunta

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

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

Solução

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IgorElite · Tutor por 8 anos

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D. \(t = -4h + 21\)

Explicação

## Step 1<br />The 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.<br /><br />## Step 2<br />The 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.<br /><br />## Step 3<br />The slope is negative because the temperature is decreasing. Therefore, the slope is -4.<br /><br />## Step 4<br />Using the slope-intercept form of a linear equation, \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, we can write the equation for the temperature, \(t\), at hour \(h\) as \(t = -4h + 21\).
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