Section 2.5Problem Solving

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Section 2.5Problem Solving

Section 2.5Problem Solving

You text talks about a 5 step problem to use when you are working a word problem. It is a very good technique that we will use (for the most part).

Also, there is one formula which is needed called the distance (motion) formula. We will be using this when we are working “motion problems.”

Practice:

6) Eva paid $120 for a TI-84 Plus graphing calculator. This was 20% less than the price of a TI-89 Titanium graphing calculator. How much did the TI-89 cost?

What I’m thinking: If the calculator was 20% less, than means she paid 80% of what the TI-89 costs.

It’s always a good idea to check your answer.

1st – does is make sense, is it reasonable.

Then check out the numbers.

11) In May 2010, Scott Dixon won the Road Runner Turbo 300 with a time of 01:50:43.1410 for the 300-mi race. At one point Dixon was 20 mi closer to the finish than to the start. How far had Dixon traveled at that point? (Hint: sometimes it’s helpful to draw a picture.)

19) The world’s oldest bride was 19 yr older than her groom. Together, their ages totaled 185 yr. How old were the bride and the groom?

25) The top of the John Hancock Building in Chicago is a rectangle whose length is 60 ft more than the width. The perimeter is 520 ft. Find the width and length of the rectangle. Find the area of the rectangle.

36) Jenny, Demi, and Shaina buy an 18-in long gourmet sandwich and take it back to their apartment. Since they have different appetites, Jenny cuts the sandwich so that Demi gets half of what Jenny gets and Shaina gets three-fourths of what Jenny gets. Find the length of each person’s sandwich.

Aquarium Size
(gallons) / Stocking Density
(inches)
100
120
200
250 / 20
24
40
50

53) The table lists the maximum recommended stocking density for fish in aquariums of various sizes. The density is calculated by adding the lengths of all fish in the aquarium. What size aquarium would be needed for 30 in of fish?

58) Stephanie walked 5 min to meet her jogging partner and then ran for 40 min. Her jogging rate was twice as fast as her walking rate. If she walked and jogged a total of 21,250 ft, how fast did she jog?

61) Justin rode his bicycle at a rate of 15 mph and then slowed to 10 mph. He rode 30 min longer at 15 mph than he did at 10 mph. If he traveled a total of 25 mi, how long did he ride at the faster rate: (Hint: Convert minutes to hours or hours to minutes.)

Homework: MLP (MyLabsPlus) and the following problems from the text.

22, 35, 54, 62,77 – There is more than one way to do these problems. You need to show your work. If you use variable define them. Tell me what you are doing/thinking so I know what the math represents. Answer is a complete sentence.

MLP problems & Quiz are due ______Text problems are due ______