a.
To draw a graph to represent the cost of using a taxi cab.
a.
Explanation of Solution
Given:
The rate of the taxi is $3 plus $1.50 per mile after the first mile.
Also, every fraction of a mile is rounded up to the next mile.
Calculation for the graph:
Construct a table of values from the given explanation.
Number of Miles (x) | Cost (y) |
0 | 3+1.5(0) = 3 |
0.5 | 3+1.5(0) = 3 |
1 | 3+1.5(0) = 3 |
1.5 | 3+1.5(1) = 4.5 |
2 | 3+1.5(1) = 4.5 |
2.5 | 3+1.5(2) = 6 |
3 | 3+1.5(2) =6 |
By plotting the values of x and y in the graph, the function can be sketched.
Graph:
Inference:
Therefore, the given situation is graphed as above.
b.
To calculate the cost if the trip is 8.5 miles long.
b.
Answer to Problem 14PPS
$15
Explanation of Solution
Given:
The rate of the taxi is $3 plus $1.50 per mile after the first mile.
Also, every fraction of a mile is rounded up to the next mile.
Calculation:
Given that every fraction of a mile is rounded up to the next mile.
To be found is the cost of the trip of 8.5 miles.
So, 8.5 is rounded up to 9.
The cost is different for the first mile.
So, 9 − 1 = 8 miles.
Cost of extra mile is $1.5. Hence, multiplying 8 and 1.5 gives the result to be 12.
The cost of first mile is $3.
So, the total cost of the trip is the cost of the first mile and the additional cost of 8 miles taken together.
3 + 1.5(8) = 3+12 = 15
Conclusion:
Therefore, it costs $15 for a 8.5 mile trip.
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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