Question

the temperature, t, in burrtown starts at 21°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? a. t = 4h + 21 b. t = -21h + 4 c. t = -4h + 21 d. t = 21h + 4

Explanation:

Step1: Identify the slope and y-intercept

The temperature starts at \(21^\circ\text{F}\) when \(h = 0\), so the y-intercept (initial temperature) is \(21\). The temperature drops \(4\) degrees every hour, so the slope (rate of change) is \(- 4\) (negative because it's decreasing).

Step2: Write the linear equation

The general form of a linear equation is \(t=mh + b\), where \(m\) is the slope and \(b\) is the y-intercept. Substituting \(m=-4\) and \(b = 21\), we get \(t=-4h + 21\).

Answer:

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