Warm-Up True or False and Explain: 2/5% = 0.004% Exploration 6.5 (until 25 after)

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Presentation transcript:

Warm-Up True or False and Explain: 2/5% = 0.004% Exploration 6.5 (until 25 after)

Exploration 6.5 Sales #1 - 4 Decrease and Increase #5 - 6 General formula?

Ways to estimate A newspaper story reports that 8% of 7968 students work full time. Strategy 1: Use 10% as a benchmark 10% of 7968 is 796.8, or about 797. Strategy 2: Use 1% as a benchmark 1% of 7968 is 79.68, or about 80. So 8% is 8 1%: 8 80 = 640.

Ways to estimate Strategy 3: find a close number: 7968 is about 8000: 10% of 8000 is 800; 8 1% is 8 80 = 640. Strategy 4: find a range. 8% is between 10% and 5%. 5% of 8000 is % of 8000 is 800. So 8% of 7968 is between 400 and 800.

For exact answer: Write and solve a proportion. Percent = part = is 100 whole of 8 = x --> = 100x = 100x = x About 637 students work full time.

For most problems Write the percent problem as a proportion; then solve.

Example My friend makes 68 baskets a week, and wants to sell no more than 30%. What is the maximum number of baskets she can sell? Part = Percent = Is Whole 100 Of 30 = x --> = 100x About 20.

Try this on your own My course coordinator’s son has 72 stuffed animals on his bed, but he generally only sleeps with 4 at a time. What percent of his animals does he sleep with? 4 = x --> = 72x. X = 5.5%

Example There is a 20% off sale at the mall. I’ve wanted this really cool sweater that is $120, but couldn’t afford it. How much less is the price with the sale? What is the sale price? If the sale is 20% off, then the sweater is going to cost = 80% of the original price. New price: $96. Savings: $24. Can you explain how to do this in your head?

Example The college bookstore makes a profit by charging students 25% more than the book actually cost wholesale. If your book cost $140, how much did the bookstore pay for it? The bookstore pays 100%, and you pay = 125%. 100% = $x --> = 125x 125% $140

Example In the course of a year, there has been a decrease of 0.5% in the number of cacti in a certain zip code. If there had been about 640,000 cacti at the beginning of the year, how many are left now? 100% in the beginning; = 99.5% now. 100 = 640,000 --> 100x = x About 636,800 cacti are left.

Wednesday Turn in the photocopy machine exploration (this is fun!) See PP ahead of time to get idea of questions to ask. We will not have time to go through the whole thing. Extra office hours will be announced