Linear Functions
The scientists determined that the equation y=-0.5x+26 models the amount of the shoreline y in feet x decades after 1950. Which statement is true based on the model?
A. The shoreline is reduced by 0.5 foot every 10 years
B. The shoreline is increased by 0.5 foot every 10 years
C. The shoreline is reduced by 26 feet every 10 years
D. The shoreline is increased by 26 feet every 10 years
A. The shoreline is reduced by 0.5 foot every 10 years
Hours Total Cost
3 $25
5 $35
7 $45
A company charges an initial fee plus an hourly rate to rent scooters. What is the hourly rate that the company charges to rent a scooter?
$5 per hour
What is the value of x in this equation
6x - 4(x-9) = 2(3 - x)
-7.5
What is the solution to the inequality shown?
-2(x+3) < 6-x
A. x > -12
B. x < -12
C. x > 12
D. x < 12
A. x > -12
Which choice passes through (12, 10 ) and is parallel to y= 3x+6?
A. y= -1/3x +14
B. y= -1/3x +10
C. y= 3x -12
D. y= 3x -26
D. y = 3x -26
The weight of a puppy was monitored for the first year of its life. The relationship can be modelled by the function f(x)= 1200x + 400. What is the meaning of the y-intercept of the function?
A. The puppy weighed about 400 grams at birth
B. The puppy weighed about 1200 grams at birth
C. The weight of the puppy increases by about 400 grams per month
D. The weight of the puppy increases by about 1200 grams per month
A. The puppy weighed about 400 grams at birth
Time(sec) Distance(m)
10.6 100
19.3 200
27.5 400
40.1 800
68.2 1600
In which interval did the car have the greatest rate of change in the distance travelled?
A. 10.6 to 19.3 seconds
B. 19.3 to 27.5 seconds
C. 27.5 to 40.1 seconds
D. 40.1 to 68.2 seconds
C. 27.5 to 40.1 seconds
The function, f(x), growing in a culture after x hours. How many bacteria are in the culture after 3hours?he function f(x) =5(2)^x represents the number of bacteria
40
What is the solution to the inequality shown
2-x < 4 - 3x
A. x> 1
B. x < 1
C. x > -1
D. x < -1
B. x < 1
Which equation represents the line that passes through the point (4, -5) and is perpendicular to the line x+2y=5?
A. x - 2y = -14
B. x + 2y = -6
C. 2x + y = 3
D. 2x - y =13
D. 2x -y =13
The height of a candle , h(t), is modeled by the function h(t)= 8-t, where t is the amount of time the candle has been burning. What is the meaning of the y- intercept of the graph of the function?
A. the amount of time the candle has been burning
B. the height of the candle when it starts to burn
C. the maximum amount of time the candle can burn
D. the height of the candle after it finished burning
B. the height of the candle when it starts to burn
Hours Total Cost
2 $8
6 $20
10 $32
A company rents bicycles to customers. The company charges an initial fee plus an hourly rate. What is the initial fee the company charges to rent a bicycle?
$2
f(x) = 64(0.5)^x
g(x) = 20x +12
What is the value of f(4) + g(3)
4+72= 76
What is the solution to the inequality shown?
3m + 5 > 2(m - 7)
A. m > -12
B. m > 12
C. m > -19
D. m > 19
C. m > -19
The equation y= 8.50x + 45 can be used to predict the cost of the meals if x people attend the event. What is the meaning of the slope of the equation?
A. the company charges an initial fee of $8.50
B. the company charges an initial fee of $45
C. the cost increases by $8.50 for each person who attends the event
D. the costs increases by $45 for each person who attends the event
C. The costs increases by $8.50 for each person who attends the event
Drop Height Bounce Height
20 15
30 24
40 33
What was the average rate of change in the bounce height as the drop height changed?
A. 0.90
B. 0.85
C. 0.60
D. 0.25
A. 0.90
Phyllis is going ice skating
The cost to rent figure skates for x hours is given by the function f(x)= 1.50x + 2.00
The cost to rent hockey skates for x hours is given by the function h(x)=2.00x + 1.50
If Phyllis rents skates for 3 hours, how much cheaper would figure skates be than hockey skates?
$1 cheaper
What is the solution to the inequality
7(2m-3/7) <= 16m+7
A. m <= -5
B. m>= -5
C. m <= -52/49
D. m>= -52/49
B. m >= -5
Two line segments are parallel to each other. The first line segment has endpoints at (2,3) and (1,9). The second line segment has end points at (5,4) and (3,y). What is the value of y?
A. 34
B. 16
C. 10
D. -6
B. 16
Package Weight Cost
1.3 lb $3.70
1.5 lb $4.00
2.0 lb $4.75
3.0 lb $6.25
The table shows the cost (y) for mailing a package. The customer is charged an initial fee for mailing the package. An extra charge is added based on the weight of the the package (x).
What does the value of the y-intercept represent when the data in the table is modelled by a linear function?
A. the package weight
B. the total mailing cost
C. the cost per pound
D. the initial fee
D. the initial fee