Sure, let's work through the problem step-by-step to find the correct equation describing the distance a truck driver drives as a function of time.
1. Understand the problem:
We are given that a truck driver drives at a constant rate of 60 miles per hour. We need to find an equation that represents the distance [tex]\( d \)[/tex] in miles as a function of time [tex]\( h \)[/tex] in hours.
2. Identify the given quantities and their relationship:
- The rate at which the truck driver drives: 60 miles per hour.
- The variable [tex]\( d \)[/tex] represents the distance in miles.
- The variable [tex]\( h \)[/tex] represents the time in hours.
3. Write the relationship between distance, rate, and time:
The general formula connecting distance, rate, and time is:
[tex]\[
\text{distance} = \text{rate} \times \text{time}
\][/tex]
4. Substitute the given rate into the equation:
Since the rate given is 60 miles per hour, we replace the word "rate" with 60:
[tex]\[
d = 60 \times h
\][/tex]
5. Check the form of our equation with the given choices:
- [tex]\( h = 60d \)[/tex]
- [tex]\( d = 60h \)[/tex]
- [tex]\( h = 60 + d \)[/tex]
- [tex]\( d = 60 - h \)[/tex]
The only equation that matches our derived equation is:
[tex]\[
d = 60h
\][/tex]
Therefore, the equation that represents the distance [tex]\( d \)[/tex] in miles as a function of time [tex]\( h \)[/tex] in hours is:
[tex]\[
d = 60h
\][/tex]
