Calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems.
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Q 1/11
Score 0
60
Q 2/11
Score 0
The first five terms in a pattern are shown below.
−0.5, −0.25, 0, 0.25, 0.5, . . .
If the pattern continues, which expression can be used to find the nth term?
60
0.25n − 0.75
−0.25n − 0.25
0.75n − 1.25
−0.5n + 0.25
11 questions
Q.
1
60 sec
A.3.B: Rate Of Change
Q.
The first five terms in a pattern are shown below.
−0.5, −0.25, 0, 0.25, 0.5, . . .
If the pattern continues, which expression can be used to find the nth term?
2
60 sec
A.3.B: Rate Of Change
Q.
3
60 sec
A.3.B: Rate Of Change
Q.
A customer pays an annual membership fee of $85 to a neighborhood car wash. Each time he takes his car to the car wash, he pays only $7. The total amount of money he spends at the car wash in one year in dollars can be found using the function y = 7x + 85. What does the variable x represent in this function?
4
60 sec
A.3.B: Rate Of Change
Q.
A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?
5
60 sec
A.3.B: Rate Of Change
Q.
6
60 sec
A.3.B: Rate Of Change
Q.
7
60 sec
A.3.B: Rate Of Change
Q.
The graph models the linear relationship between the temperature of Earth’s atmosphere and the altitude above sea level. Which of these best represents the rate of change of the temperature with respect to altitude?
8
60 sec
A.3.B: Rate Of Change
Q.
The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?
9
60 sec
A.3.B: Rate Of Change
Q.
10
60 sec
A.3.B: Rate Of Change
Q.
The table shows the linear relationship between the balance of a student's savings account
and the number of weeks he has been saving.
Based on the table, what was the rate of change of the balance of the student's savings
account in dollars and cents per week?
Record your answer and fill in the bubbles on your answer document.