Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![### Problem Statement:
Susan drove 660 miles in 12 hours. At the same rate, how long would it take her to drive 385 miles?
### Solution:
To find out how long it would take Susan to drive 385 miles at the same rate, you can use the formula for rate, time, and distance:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} \]
First, find Susan's driving rate:
\[ \text{Rate} = \frac{660 \text{ miles}}{12 \text{ hours}} \]
\[ \text{Rate} = 55 \text{ miles per hour (mph)} \]
Now, to find out how long it will take her to drive 385 miles:
\[ \text{Time} = \frac{\text{Distance}}{\text{Rate}} \]
\[ \text{Time} = \frac{385 \text{ miles}}{55 \text{ mph}} \]
\[ \text{Time} \approx 7 \text{ hours} \]
### Interactive Component:
On the educational website, there could be an interactive section where students can input their answers. For example, they might see a form with the following elements:
- A text box where they can enter the number of hours.
- Three buttons:
- A check mark (✔) for submitting their answer.
- A reset button (⟳) to clear their input.
- A help button (?) to get hints or assistance.
#### Graphs/Diagrams Explanation:
There are no graphs or diagrams in this image. However, if this were on an educational website, a bar graph or a straight-line graph could visually represent the distance traveled over time both for 660 miles and for 385 miles, showing students the relationship between distance, time, and rate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5591cdb-3cfd-4329-956e-0e95f0a02283%2Fa076f049-3d8e-4ae8-9ca4-e378cc91282b%2F1eiqcsai_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
Susan drove 660 miles in 12 hours. At the same rate, how long would it take her to drive 385 miles?
### Solution:
To find out how long it would take Susan to drive 385 miles at the same rate, you can use the formula for rate, time, and distance:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} \]
First, find Susan's driving rate:
\[ \text{Rate} = \frac{660 \text{ miles}}{12 \text{ hours}} \]
\[ \text{Rate} = 55 \text{ miles per hour (mph)} \]
Now, to find out how long it will take her to drive 385 miles:
\[ \text{Time} = \frac{\text{Distance}}{\text{Rate}} \]
\[ \text{Time} = \frac{385 \text{ miles}}{55 \text{ mph}} \]
\[ \text{Time} \approx 7 \text{ hours} \]
### Interactive Component:
On the educational website, there could be an interactive section where students can input their answers. For example, they might see a form with the following elements:
- A text box where they can enter the number of hours.
- Three buttons:
- A check mark (✔) for submitting their answer.
- A reset button (⟳) to clear their input.
- A help button (?) to get hints or assistance.
#### Graphs/Diagrams Explanation:
There are no graphs or diagrams in this image. However, if this were on an educational website, a bar graph or a straight-line graph could visually represent the distance traveled over time both for 660 miles and for 385 miles, showing students the relationship between distance, time, and rate.
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