Assurve that a DVD loses 60% of its valun every year it Suppose the initial valu

Question

Assurve that a DVD loses 60% of its valun every year it Suppose the initial value of the DVD was SM n a ie What meiplier would you use to calculate the vides nw What is the value of the DVD afier one year? Aher for a c Write a costinuous function, Vino model the v of a DVD aier d. When does the video have no valse Skech a graph of this function. Be sure to scale and label the anes e. 749. This problem is acheckpoint for solving problems by writing equanm.kwill be referrod to as Checkpoint 7A solve. Be sure to define your variablels) and clearly answer the question a The Lee's have three children. The oldest is twice as old as the young For each problem, write one or two equations so represent the situation and tien The middle child is five years older than the youngest. If the sum of the ages is 57, how old is each child? b. In Katy's garden there are 105 ladybugs. They are increasing-t two ladybugs per monch. There are cunently 175 aphids and the sumber of aphids is decreasing at three aphids per month. When will dhe number of ladybugs and aphids in Katy's garden be the same? e. At the farmer's market Laura bought three pounds of heirlocem tomatoes. the tomatoes are priced at 58 foe five pounds, what did Laura pay for her d. Adult tickets for the school play cost $5 and student tickets cost $3. Thity more student tickets were sold than adult tickcts. If $1770 was collected how many of each type of ticket was sold? Check your answers by refering to the Checkpoint 7A matcrials located at the back of your book. deally, at this point you are comfortable working with these types of problens and can solve them correctly. If you feel that you need more confidence whem solving these types of problems, then review the Checkpoint 7A materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence 330 CPM PDF content provided for use by students of Anoka-Hennepin during 2017-2018 school ye CPM Educational Program. All rights reserved.

Explanation / Answer

a) let age of 1st child = x

2nd = y

3rd = z

setting up the equations

x + y + z = 57

x = 2z

y = z + 5

solving the equations forx , y , z

2z + z + 5 + z = 57

z = 13

y = 13 + 5 = 18

x = 2*13 = 26

so, the eldest = 26 years

middle one is 18 years

youngest = 13 years old

b) number of ladybugs is increasing at 2 per month

let number of months = x

ladybugs after x months

105 + 2x

aphids is decreasing at 3 per month

so, aphids after x months is

175 - 3x

setting two equations equal to each other

105 + 2x = 175 - 3x

5x = 70

x = 35

so, after 35 months both population will be same

c) 5 pounds price = $ 8

laura bought 3 pounds

let x be the price of 3 pounds

3 /5 = x / 8

x = 8*3 / 5

x = 4.8

so laura paid $ 4.8 for 3 pounds tomatoes

d) let adult tickets sold = x

and student ticket sold = y

5x + 3y = 1770

y = x + 30

solving for x and y

5x + 3(x+30) = 1770

x = 210

y = 210 + 30 =240

so, adult tickets sold = 210

student tickets sold = 240

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