# COMPARING PROPORTIONAL RELATIONSHIPS WORKSHEET

Problem 1 :

Meera is researching cruising speeds of different planes. Which airplane has a greater cruising speed ?

Solution

Problem 2 :

The distance covered by the fastest high speed train in Japan travelling at maximum speed is represented on the graph. The fastest high speed train in the United States Travelling at maximum speed covers 600 kilometers in 2 1/2 hours. Which train has a greater maximum speed ?

Solution

Problem 3 :

Amanda babysits and Petra does yard work on weekends. The graph relating Amanda's earnings to the number of hours babysits passes through the points (0, 0) and (4, 24). The table below relates Petra's earnings to the number of hours she doe yard work.

Who earns more per hour ?

Solution

Problem 4 :

Milo pays \$3 per pound for dog food at Pat's pet palace. The graph given below represents the cost per pound of food at Mark's Mutt market. At which store will Milo pay a lower price per pound for dog food ?

Solution

Problem 5 :

The graph represents the rate at which Marlo makes origami birds for a craft air. The equation y = 2.5x represents the number of birds, y Josh makes x in minutes. Who makes birds at a faster rate ?

Solution

Problem 6 :

Sam and Bobby want to know who cycled faster. The table shows the total miles Sam travelled over time. The graph shows the same relationship for Bobby. Who cycled faster ?

Solution

Problem 7 :

The equation y = 15x can be used to determine the amount of money, y, Pauli's Pizzeria makes by selling x pizzas. The graph shows the money Leo's Pizzeria takes in for different number of pizzas sold. Which Pizzeria makes more money per pizza ?

Solution

Problem 8 :

The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile puts \$50 each week into her savings account. If they both begin with \$0, who is saving greater rate ?

Solution

Problem 9 :

Arshton, Alexa and Clara want to know who types the fastest. The equation y = 39x models the rate at which Arshton can type. Where y is the number of words typed and x is in time in minutes.

The table shows the relationship between words typed and minutes of Alexa.

The graph shows the same relationship for Clara. Who types the fastest ?

Solution

1)  So, Jet Airliner is faster.

2)  So, speed of Japan's train is faster.

3)  So, Amanda earns more.

4)  Cost at Pat's pet palace is cheaper.

5)  So, Josh's rate is more.

6)  Then, Bobby cycled faster.

7)  So, Pauli's Pizzeria will make more money.

8)  So, Lana saves more.

9)  All of the are typing in the same speed.

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