An energy-drink manufacturer has a daily production cost of ? = 70,000 − 120? + 0.055?2, where C is the total cost (in dollars) and x is the number of units produced. How many units should they produce each day to yield a minimum cost? Also, what is that minimum cost?Finally, provide a summative statement of your results. In other words, create a sentence which describes the results of your final calculations within the context o f the real-world scenario.

You want to estimate how many fish there are in a small pond.  Let's suppose that you first capture n1=500 fish, tag them, and throw them back into the pond.  After a couple of days you go back to the pond and capture n2=120 fish, of which k=30 are tagged.  Estimate the number of fish in the pond. There are approximately Answer fish in the pond.

The percent of people who have a commute time to work of 15 minutes or more is very likely to be between 78 % and 84 % . This can be written mathematically as 78 < p< 84. Express this in the form of a + b.

A rising 3rd year college students has 60 credits and a cumulative GPA of 2.88. This semester he is taking 15 credits and hopes to raise his GPA to 3.20 and make the Dean’s list. Assume the maximum grade point equivalent that can be awarded is 4.0.

What would be the answer to number 2,3,5,6 and, 7?

The percentage of high school seniors using alcohol decreased from 68.4% in 1975 to 52.4% now. Express this change in two ways: (1) as an absolute difference in terms of percentage points and (2) as a relative difference in terms of percent. (1) The percentage of high school seniors using alcohol decreased by (Round to the nearest tenth as needed.) percentage points. %. (2) The percentage of high school seniors using alcohol decreased by (Round to the nearest tenth as needed.)

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Page 5 of 6 Date: Name: YouruicKOl Mr. Banks is worried that he was overcharged by the automotive detailing shop when they cleaned his Mustang. He dropped his car off at 9: 00 am and picked it up at 11:00 am. The shop charges $35 per hour for labor together with a one-time $20 supplies fee. 7. Use the verbal model to help you write an equation that models total cost of having a car detailed. a. Cost Number Total One-Time of per Hour/ Supply Fee Cost Hours b. What are the independent and dependent variables? Is this equation in Standard form or Slope-Intercept form? Explain how you can tell. с. If the bill came to $125 for how many hours did Mr. Banks pay? (Use your equation to answer this question.) d. Should Mr. Banks speak to the manager? e.