cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour) away from home x hours after noon is given by f(x), represented in the following table. Give estimates for the following questions. 0 2 4 X 8 6 10 f(x) 41 49 59 61 65 75 hea a) How far did you drive between 2:00 pm and 8:00 pm? Estimate miles. b) How fast where you driving at 4:00 pm? It will be miles per hour. c) How far away from home were you at 6:00 pm? Estimate miles. (If necessary, round to two decimal places.)

Intermediate Algebra
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ISBN:9780998625720
Author:Lynn Marecek
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Chapter3: Graphs And Functions
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### Driving Distance and Velocity Estimation

You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour) away from home x hours after noon is given by f(x), represented in the following table. Give estimates for the following questions:

| x (hours) | 0  | 2  | 4  | 6  | 8  | 10  |
|-----------|----|----|----|----|----|----|
| f(x)      | 41 | 49 | 59 | 61 | 65 | 75 |

#### Questions:
a) How far did you drive between 2:00 pm and 8:00 pm? Estimate _[ ]_ miles.

b) How fast were you driving at 4:00 pm? It will be _[ ]_ miles per hour.

c) How far away from home were you at 6:00 pm? Estimate _[ ]_ miles.
*Note: If necessary, round to two decimal places.*

#### Explanation of the Table:
- **x (hours)**: Number of hours after noon.
- **f(x) (miles per hour)**: Velocity miles per hour at x hours after noon. 

The table provides a set of velocities at different hours after noon, helping to estimate driving distances and speeds.

#### Diagrams/Graphs:
Since there are no diagrams or graphs provided in the image, none are explained in this context. The table alone provides the necessary data for the calculations.
Transcribed Image Text:### Driving Distance and Velocity Estimation You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour) away from home x hours after noon is given by f(x), represented in the following table. Give estimates for the following questions: | x (hours) | 0 | 2 | 4 | 6 | 8 | 10 | |-----------|----|----|----|----|----|----| | f(x) | 41 | 49 | 59 | 61 | 65 | 75 | #### Questions: a) How far did you drive between 2:00 pm and 8:00 pm? Estimate _[ ]_ miles. b) How fast were you driving at 4:00 pm? It will be _[ ]_ miles per hour. c) How far away from home were you at 6:00 pm? Estimate _[ ]_ miles. *Note: If necessary, round to two decimal places.* #### Explanation of the Table: - **x (hours)**: Number of hours after noon. - **f(x) (miles per hour)**: Velocity miles per hour at x hours after noon. The table provides a set of velocities at different hours after noon, helping to estimate driving distances and speeds. #### Diagrams/Graphs: Since there are no diagrams or graphs provided in the image, none are explained in this context. The table alone provides the necessary data for the calculations.
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