1.1+Adding+and+Multiplying+0809

Problem 1.1: Adding and Multiplying

As part of an advertising brochure, the Waters Works marketing manager wants to include a table showing admission prices for groups with numbers of adults and children.


 * A.** **Copy and complete the table to show admission prices for groups with various numbers of adults and children**

Number of children Number of Adults
 * || 20 || 40 || 60 || 80 || 100 ||
 * 10 || 360 || 520 || 680 || 840 || 1000 ||
 * 20 || 460 || 620 || 780 || 940 || 1100 ||
 * 30 || 560 || 720 || 880 || 1040 || 1200 ||
 * 40 || 660 || 820 || 980 || 2040 || 1300 ||

Basically, in the columns the price is going up by 100 each time, and the number of children and adults increase by 10 or 20 each time.
 * B. Look for patterns in the rows and columns of the table. Describe each pattern you find and tell which part of the equation creates the pattern.**

10 is how much and adult has to pay. 8 is how much a child has to pay and 100 is our intercept and will be our initial starting point.
 * C. In the equation //p = 100 + 10a + 8c//, what do the numbers 100,10 and 8 tell you about calculating the group price?**

The order of operations will be first multiplying the variables to its corresponding multiplying number and then add them with 100 which will give you //p//.
 * D. What mathematical operations do you need to perform to calculate the group price for a particular number of adults and children?**


 * Problem 1.1 follow-up**


 * 1. The daily profit in dollars, p, from the park concession stands depends on the number of visitors, V. The business manager wrote the equation p = 2.50V - 500.**

p =2.5v - 500 p =(2.5x300) - 500 p = 250
 * a. If 300 people vist the park, about how much concession profit will be made?**

p =(2.5x600) - 500 p =1000
 * b. If 600 people visited.**

I used PEMDAS. I first multiplied and then subtracted.
 * c. What mathematical operations did you perform to calculate your answers in parts a and b?**

Yes, I checked in my graphing calculator and yes they do give me the same results.
 * d. Check the equation by a graphing calculator**.

2. The manager uses the equation V = 600 - 500R to predict the number of visitors based on the probability of rain, R.