Question

Daniel is driving to his friend’s house.
Using the following ratio table, find the number of hours it takes for him to drive 270 miles (x) and the distance he can travel in 4 hours (y).

Answer 1

Sure! To help with Daniel's driving scenario, I need a ratio table that relates time (in hours) to distance (in miles). Since you haven’t provided the table, I can create a sample ratio table, and then we can use it to determine the values for \( x \) and \( y \).

Let's assume a simple ratio based on the speed. For example, if we assume Daniel is driving at a constant speed of 60 miles per hour, we can set up the ratio:

1. 1 hour → 60 miles
2. 2 hours → 120 miles
3. 3 hours → 180 miles
4. 4 hours → 240 miles
5. 5 hours → 300 miles

### To find the number of hours it takes for him to drive 270 miles:

Since Daniel drives at 60 miles an hour, we can use the formula:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

In this case:

\[
\text{Time} = \frac{270 \text{ miles}}{60 \text{ miles per hour}} = 4.5 \text{ hours}
\]

So, it takes Daniel **4.5 hours** to drive 270 miles ( \( x = 4.5 \) ).

### To find the distance he can travel in 4 hours:

Using the same speed:

\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
\text{Distance} = 60 \text{ miles per hour} \times 4 \text{ hours} = 240 \text{ miles}
\]

Thus, in 4 hours, Daniel can travel **240 miles** ( \( y = 240 \) ).

### Summary:

- \( x \) (time to drive 270 miles) = **4.5 hours**
- \( y \) (distance in 4 hours) = **240 miles**

If you have a different speed or specific values from a ratio table, please share, and we can adjust the calculations accordingly!