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Doing the Math - JHU Mathematics - Johns Hopkins University

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APPENDICES<br />

Indicator Problem Problem Descriptive Notes<br />

number Note: many of <strong>the</strong> problems have Notes<br />

accompanying charts that are not shown.<br />

A few are shown as examples.<br />

1.2.3<br />

1.2.4<br />

35<br />

54 <strong>Doing</strong> <strong>the</strong> <strong>Math</strong><br />

4<br />

23<br />

29--RG<br />

13<br />

24<br />

The yearbook club washes cars to raise at<br />

least $600. The club charges $3 for each car,<br />

c, that <strong>the</strong>y wash. Which of <strong>the</strong>se inequalities<br />

models this situation?<br />

Look at <strong>the</strong> system of equations below.<br />

12x-4y=8<br />

3x-y=2<br />

Which of <strong>the</strong>se statements describes <strong>the</strong> graph<br />

of this system of equations?<br />

William charges $4 per hour to babysit.<br />

LaRhonda charges $10, plus an additional $2<br />

per hour to babysit. Both William and<br />

LaRhonda work <strong>the</strong> same number of hours.<br />

After how many hours will <strong>the</strong>y earn <strong>the</strong> same<br />

amount of money?<br />

For a party, Simon has pizza delivered to his<br />

home. Pizza House charges $8 per pizza plus<br />

an additional $12 for delivery. Spaghetti World<br />

charges $10 per pizza with no delivery charge.<br />

If Simon orders <strong>the</strong> same number of pizzas<br />

from each store, how many pizzas must be<br />

delivered for <strong>the</strong> total cost to be <strong>the</strong> same for<br />

Pizza House and Spaghetti World?<br />

The graph below models <strong>the</strong> relationship<br />

between time, in minutes, and <strong>the</strong> volume of<br />

water, in gallons, in a tub. What is <strong>the</strong> rate, in<br />

gallons per minute, at which <strong>the</strong> tub is being<br />

filled?<br />

The graph below shows <strong>the</strong> distance, in miles,<br />

that <strong>the</strong> Campbell family drives on <strong>the</strong> first day<br />

of <strong>the</strong>ir vacation. What is <strong>the</strong> total number of<br />

hours that <strong>the</strong> Campbell family stopped during<br />

<strong>the</strong> first day?<br />

Answer is 3c≥600.<br />

All choices are similar.<br />

1.2.3 The student will<br />

solve and describe<br />

using numbers,<br />

symbols, and/or graphs<br />

if and where two<br />

straight lines intersect.<br />

Answer is: two lines<br />

that intersect only at<br />

(0, _2).<br />

Choices are 2 hours,<br />

2.5 hours , 4.5 hours,<br />

and 5 hours.<br />

1.2.4 The student will<br />

describe how <strong>the</strong><br />

graphical model of a<br />

non-linear function<br />

represents a given<br />

problem and will<br />

estimate <strong>the</strong> solution.<br />

Choices are easily checkable.<br />

Can solve this with simple<br />

arithmetic and no knowledge of<br />

lines.<br />

This can be solved by checking<br />

1, 2, and <strong>the</strong> answer, 3.<br />

This is graph reading ra<strong>the</strong>r<br />

than classical algebra.<br />

This is graph reading ra<strong>the</strong>r<br />

than classical algebra.

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