5.7 Interpreting Graphs of Linear FunctionsName:______/35
MULTIPLE CHOICE [12 marks]
1.Which graph represents the linear function ?
A. / / C. /B. / / D. /
2.Each graph below shows distance, d metres, as a function of time, t hours. Which graph has a rate of change of 4 m/h and a vertical intercept of 3 m?
A. / / C. /B. / D.
3.Each graph below shows distance, d metres, as a function of time, t hours. Which graph has a rate of change of 0.75 m/h and a horizontal intercept of 3 m?
A. / / C. /B. / / D. /
4.The graph shows the cost of hosting an anniversary party. What is the maximum number of people who can attend the party for a cost of $1500?
A. / 61 people / C. / 33 people
B. / 38 people / D. / 27 people
5.This graph shows the cost of a taxi ride. The cost, C dollars, is a function of the duration of the ride, t min. What is the duration of the ride when the cost is $35?
A. / 45 min / C. / 50 min
B. / 58 min / D. / 53 min
6.Which graph represents the linear function ?
A. / / C. /B. / / D. /
7.This graph shows the cost of gas. The cost, C dollars, is a function of the volume, V litres, of gas purchased. What is the volume of gas purchased when the cost is $10.45?
A. / about 11.5 L / C. / about 9.5 LB. / about 10.5 L / D. / about 9 L
8.This graph represents the time it takes to fill a 140-L hot-water tank. Determine the volume of water in the tank after 50 min.
A. / about 23 L / C. / about 119 LB. / about 97 L / D. / about 108 L
9.The graph shows the height of a float plane as it descends to land. Determine the rate of change for this graph.
A. / –125 m/min / C. / 125 m/minB. / –0.008 m/min / D. / –1500 m/min
10.This graph shows a person’s distance from a starting point, d kilometres, as a function of time, t minutes. Determine the distance from the starting point when the time is 5 min.
A. / about 10.1 km / C. / about 1.8 km
B. / about 14.3 km / D. / about 0.6 km
11.This graph shows the fuel consumption of a jeep with a full tank of gas at the beginning of a journey. When the jeep has travelled 150 km, about how much fuel is left in the tank?
A. / about 49 L / C. / about 51 LB. / about 12 L / D. / about 11 L
12.A retirement home ordered canvas shopping bags for 90 residents. This graph shows the cost of the shopping bags, C dollars, as a function of the number ordered, n. Suppose one more shopping bag was ordered. What would be the increase in cost?
A. / $0.25 / C. / $5.00B. / $4.56 / D. / $4.00
SHORT ANSWER
1.[2 marks] This graph shows the volume of gasoline left in a car’s tank, v litres, as a function of the distance travelled, d in hundreds of kilometres. Determine the domain and range of the graph.
2.[2 marks] Determine the vertical and horizontal intercepts of this graph.
3.[2 marks] Determine the rate of change and the vertical intercept of this graph.
4.[1 mark] This graph shows the cost, C dollars, of printing an advertising flyer for the school play as a function of the number of flyers printed, n. What is the cost when 1000 flyers are printed?
5.[1 mark] This graph shows cost, C dollars, as a function of time, t hours.
What is the time when the cost is $35?
PROBLEM
1.[6 marks] This graph shows the time it takes to fill a gas tank from empty.
a) Determine the vertical and horizontal intercepts. Describe what the point represents.
b) Determine the rate of change. What does it represent?
c) Write the domain and range.
d) About how long will it take to fill a 65-L gas tank?
2. [2 marks] Sketch a graph of the linear function .
3.[7 marks] This graph shows the distance, d kilometres, from Beijing, China, to Edmonton, Alberta, as a function of flying time, t hours.
a)Determine the vertical and horizontal intercepts.
Write the coordinates of the points where the graph
intersects the axes. Describe what the points of
intersection represent.
b) Determine the rate of change. What does it represent?
c) Write the domain and range?
d) What is the distance to Edmonton when the plane
has been flying for 5 h?
e) How many hours has the plane been flying when the
distance to Edmonton is 6500 km?