Certainly! Let’s break down the problem to understand which equation correctly represents the distance driven by the truck driver as a function of time.
1. Identify the given information:
- The truck driver drives at a constant speed of 60 miles per hour.
- The time the driver spends driving is represented by [tex]\( h \)[/tex], in hours.
- We need to find an equation that relates the distance driven [tex]\( d \)[/tex] (in miles) to the time [tex]\( h \)[/tex].
2. Understand the relationship between distance, speed, and time:
- Distance can be calculated by multiplying the speed by the time. This is based on the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
3. Apply the given values to the formula:
- Here, the speed is given as 60 miles per hour.
- So, using the formula, the distance driven [tex]\( d \)[/tex] can be expressed as:
[tex]\[ d = 60 \times h \][/tex]
4. Review the provided equations:
- [tex]\( h = 60 d \)[/tex]
- [tex]\( d = 60 h \)[/tex]
- [tex]\( h = 60 + d \)[/tex]
- [tex]\( d = 60 - h \)[/tex]
Comparing these options with our derived relationship [tex]\( d = 60 \times h \)[/tex], we see that the correct equation is:
[tex]\[ d = 60 h \][/tex]
Therefore, the equation that represents the distance, in miles, the truck driver has driven as a function of the time in hours, [tex]\( h \)[/tex], is:
[tex]\[ d = 60 h \][/tex]
