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Unit 1: Slope and Rate of Change. - St John Brebeuf

Unit 1: Slope and Rate of Change. - St John Brebeuf

Unit 1: Slope and Rate of Change. - St John Brebeuf

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Apprenticeship <strong>and</strong> workplace Math 11<br />

<strong>St</strong>.<strong>John</strong> <strong>Brebeuf</strong><br />

Example 1<br />

Karli <strong>and</strong> Josef drive delivery trucks. Karli gets paid $20 per hour <strong>and</strong><br />

Josef gets paid $16 per hour plus a $20 gas allowance at the beginning<br />

<strong>of</strong> each workday for using his own vehicle.<br />

a) Write an equation to calculate each person’s earnings.<br />

Use p for pay <strong>and</strong> h for hours. Graph 5 points <strong>of</strong> data for each<br />

person on the same graph.<br />

b) Who makes more money after 3 hours <strong>of</strong> work <strong>and</strong> how much more<br />

c) When will they make the same amount <strong>of</strong> money<br />

d) Who makes more after 9 hours <strong>of</strong> work <strong>and</strong> how much more<br />

e) Calculate the slope for each graph. What can you conclude from<br />

these values<br />

Solution:<br />

a)<br />

Karli<br />

Josef<br />

Hours Pay Hours pay<br />

1 20 1 36<br />

2 40 2 52<br />

4 4<br />

6 6<br />

8 8<br />

S.Duffy Page 10

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