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One day outside Vulcan Middle School (Go 

Phoenixes!) where swim club was held, Jimmy 

told his coach, "I found out this weekend that 

freestyle burns 85 calories every ten minutes. 

Can we have our workout today be just 

freestyle, and can we calculate the number of 

calories we burned?"

"That sounds like a great idea, Jimmy," Coach 

said.

GO PHOENIXES!

Vulcan Phoenixes Swim and Dive Records

Girls pool    Girls School       Boys Pool    Boys School

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After telling her swimmers what the plan was for 

the day, she put them to work.

"For warm-up," Coach said, "We are going to swim 

freestyle for twenty minutes and calculate how 

many calories we burned in that twenty minutes. 

Practice is going to be three hours long today. We 

will swim two and a half hours of it."

And so the swimmers started their warm-up. They 

swam back and forth across the twenty-five yard 

pool, doing their flip turns at every wall.

10   

20

30

40

50

60

70

80

90

100

110

120

130

140

150

85

170

What's the equation?

The swimmers finished their warm-up when Coach blew her 

whistle. She called them to the wall, and pointed out the 

information she had written on the board.

"Notice how the burnt calories increase by 85 every 10 minutes," 

she said, "Can anyone predict the next twenty minutes of 

swimming?"

Jessie spoke up, "In the next twenty minutes, we will have burned 

a total of about 330 calories, if my estimation is close." By the 

worried look on her face, she didn't think she was right.

"Right," Coach said, "But the actual number is 340, so you were 

still close, Jessie. Now can anyone tell me the equation we will use 

to calculate the number of calories we burn?" Coach was also a 

math teacher at the high school.

What is the equation?

y=85x

"I know it!" Grace, one of the oldest swimmers, 

called out, "The equation is y=85x."

Coach wrote the equation on the board. "Now, I 

want you to do 20x100s on 2 minutes. Leave on 

the next top!" she said.

For the next twenty minutes, the swimmers 

swam their twenty 100 yard swims. That would 

bring them to an hour of swimming.

10   

20

30

40

50

60

70

80

90

100

110

120

130

140

150

85

170

255

340

425

510

What's the equation?

y=85x

Coach asked for the next numbers for the table 

after the set was done, and four more 

numbers were added.

She gave her swimmers the next set, which 

would take another 40 minutes.

10   

20

30

40

50

60

70

80

90

100

110

120

130

140

150

85

170

255

340

425

510

595

680

765

850

What's the equation?

y=85x

"We've burned 850 calories?" Chandra 

exclaimed with her mouth wide open.

"That explains why I'm so hungry right now," 

Elliott said, "That's more calories than that was 

probably in all the food I ate today!"

"I bet!" Coach said, "The next set will take 

twenty minutes." She went on to describe it.

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