Section C Section C Checkpoint
Problem 1
Here is a piecewise linear model for the water height in feet of a reservoir that supplies water to a nearby town over a 12-month period.
A scatterplot, horizontal, months, 0 to 12, vertical, height of water in feet, 6660 to 6740. points trend downward from months 0 to 3, then upward to month 6, then horizontal to month 7, then downward to month 12.
Select all the true statements.
A
is a reasonable model for the water level from Months 0 to 3.
B
The slope from Months 3 to 5 is 57 and means that during that time the height of the water increased 57 feet each month.
C
The time is a function of the height of the water.
D
The height of the water is a function of the time.
E
The water height decreased at about the same rate from Months 0 to 3 and from Months 7 to 12.
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Solution
A, D, E
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Sample Response
A, D, E
Problem 2
A large university campus has two bike sharing programs students can pay for each month.
- Program A advertises that they charge 34 dollars to join and 1 dollar per mile traveled.
- Program B advertises that their fee to join is less than 50 dollars and that they charge less per mile than Program A.
- Which program is represented by line ?
- If is the cost in dollars and is the distance traveled in miles for a month, write a possible equation to represent Program B.
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Solution
- Program A is represented by line .
- Any equation with an initial value less than 50 and a rate of change less than 1 dollar per mile. Sample response: .
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Sample Response
- Program A is represented by line .
- Any equation with an initial value less than 50 and a rate of change less than 1 dollar per mile. Sample response: .