Lesson 3-3 All Things Being Equal 323 3-3 Applications Name In Lesson 3-1, we studied a cab ride by looking at the price for certain distances in table and graph form. We found that the initial cost of starting the trip was $5.10, which means that you'd pay $5.10 for zero miles traveled. We also found that the slope of the line was $2.60, which means that you'd pay $2.60 per mile. Using what we learned in Lesson 3-2, we can write a formula that describes the cost of a trip (C) in terms of miles traveled (m): C = 5.1 + 2.6m. 1. How much would it cost for a 17-mile trip to the airport? 2. If you have budgeted $18 for a cab ride to tour the downtown area, how far can you go? Set up and solve an equation. 3. Here's a smaller version of the graph describing cab rides from Lesson 3-1. Does your answer to Question 2 match the information on the graph? Draw an arrow to the location on the graph that you used to decide. $20.00 Cost ($) $18.00 $16.00 $14.00 $12.00 $10.00 $8.00 $6.00 $4.00 $2.00 $0.00 0 2 3 4 5 Distance (miles) 4. Solve the equation for m. What is the significance of the result?

Elementary Algebra
17th Edition
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Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 503E: The length a spring stretches varies directly with a weight placed at the end of the spring. When...
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Lesson 3-3 All Things Being Equal
323
3-3 Applications
Name
In Lesson 3-1, we studied a cab ride by looking at the price for certain distances in table and graph form. We found that the
initial cost of starting the trip was $5.10, which means that you'd pay $5.10 for zero miles traveled. We also found that the slope
of the line was $2.60, which means that you'd pay $2.60 per mile. Using what we learned in Lesson 3-2, we can write a formula
that describes the cost of a trip (C) in terms of miles traveled (m): C = 5.1 + 2.6m.
1. How much would it cost for a 17-mile trip to the airport?
2. If you have budgeted $18 for a cab ride to tour the downtown area, how far can you go? Set up and solve an equation.
3. Here's a smaller version of the graph describing cab rides from Lesson 3-1. Does your answer to Question 2 match the
information on the graph? Draw an arrow to the location on the graph that you used to decide.
$20.00
Cost ($)
$18.00
$16.00
$14.00
$12.00
$10.00
$8.00
$6.00
$4.00
$2.00
$0.00
0
2
3
4
5
Distance (miles)
4. Solve the equation for m. What is the significance of the result?
Transcribed Image Text:Lesson 3-3 All Things Being Equal 323 3-3 Applications Name In Lesson 3-1, we studied a cab ride by looking at the price for certain distances in table and graph form. We found that the initial cost of starting the trip was $5.10, which means that you'd pay $5.10 for zero miles traveled. We also found that the slope of the line was $2.60, which means that you'd pay $2.60 per mile. Using what we learned in Lesson 3-2, we can write a formula that describes the cost of a trip (C) in terms of miles traveled (m): C = 5.1 + 2.6m. 1. How much would it cost for a 17-mile trip to the airport? 2. If you have budgeted $18 for a cab ride to tour the downtown area, how far can you go? Set up and solve an equation. 3. Here's a smaller version of the graph describing cab rides from Lesson 3-1. Does your answer to Question 2 match the information on the graph? Draw an arrow to the location on the graph that you used to decide. $20.00 Cost ($) $18.00 $16.00 $14.00 $12.00 $10.00 $8.00 $6.00 $4.00 $2.00 $0.00 0 2 3 4 5 Distance (miles) 4. Solve the equation for m. What is the significance of the result?
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