The equation d =70t represents the distance in miles covered after traveling at 70 miles per hour for t hours.
How can i make this a table for every half hour?
use .5 for t, then1.0, then 1.5 and so on.
To make a table for every half hour, you can start by listing the different values of t in increments of half an hour. Then, for each value of t, you can calculate the corresponding value of d using the given equation d = 70t. Here's how you can create the table:
| t (hours) | d (miles) |
|-----------|-----------|
| 0.5 | 35.0 |
| 1.0 | 70.0 |
| 1.5 | 105.0 |
| 2.0 | 140.0 |
| 2.5 | 175.0 |
| 3.0 | 210.0 |
| 3.5 | 245.0 |
| 4.0 | 280.0 |
| 4.5 | 315.0 |
| 5.0 | 350.0 |
In this table, each row represents a different half-hour interval, with the corresponding distance covered in miles.
To create a table for every half hour, we need to plug in values of t that increase by 0.5 for each row in the table. Here's how you can do it:
1. Create a table with three columns: Time (t), Distance (d), and the corresponding values.
2. Start by setting an initial value for t. Let's say t = 0, because at the start of the journey, no time has elapsed, and therefore no distance has been covered.
3. Plug in the initial value of t into the equation d = 70t to calculate the distance covered. In this case, d = 70(0) = 0.
4. Write down t = 0 and d = 0 in the first row of the table.
5. Increment the value of t by 0.5 to represent half an hour.
6. Plug in the new value of t into the equation d = 70t and calculate the distance covered.
7. Write down the new value of t and the calculated distance in the second row of the table.
8. Repeat steps 5-7 until you have filled in the table for the desired time duration.
Here's an example table for a journey of 3 hours:
| Time (t) | Distance (d) |
|----------|--------------|
| 0 | 0 |
| 0.5 | 35 |
| 1.0 | 70 |
| 1.5 | 105 |
| 2.0 | 140 |
| 2.5 | 175 |
| 3.0 | 210 |
Each row represents the time in hours (t) and the distance covered (d) after traveling at a speed of 70 miles per hour for that duration.