Instructions: Part I Make up scenarios for the following information. Define wha
ID: 3032331 • Letter: I
Question
Instructions:
Part I
Make up scenarios for the following information. Define what the rate is and what the constant is and what a story for the numbers could be.
1) $34 - $100
2) 5 Hamburgers per week
3) 2 donuts per week + 5 donuts
4) 100 apples a year – 200 apples
Part II
Instructions
Target amounts … find the target amount asked for in the variable.
Translate the information first into an equation and then solve.
1) You are getting paid $50 per hour and at the end of the day, you earned $400. How many hours did you have to work to earn that kind of money?
Equation: _____________________________________________________
Solution: ______________________________________________________
2) Jack makes $9.55 an hour. He has $50 saved up. How long will it take him to save up $ 403.35?
Equation: ___________________________________________________________
Solution: ___________________________________________________________
3) Inez makes 3 pizza pies an hour. She has already made 5. How long will it take her to make 38 pizza pies?
Equation: _____________________________________________________________
Solution: _______________________________________________________________
4) Jacques bikes 22.5 miles a day. How long will it take him to accumulate 202.5 miles?
Equation: __________________________________________________
Solution: ____________________________________________________
5) Mr. Bhatt has to pay off his care loan. He pays $ 134.45 a month. He has around $ 7543,45 ( not taking into account interest) . Approximately how long will it take him to pay off the loan?
Equation: ___________________________________________________________
Solution: _____________________________________________________________
6) Carlos makes around 5.5 vines (average) a week. How many weeks will it take him to get to 100 vines approximately?
Equation: _______________________________________________________________
Solution: __________________________________________
Explanation / Answer
Part I)
Equation of line is y = mx + c // "m" is slope and "c" is the constant
2)
5 Hamburgers per week
here the rate is "5" // hamburger per week is 5
and the constant is "0"
3)
2 donuts per week + 5 donuts
here the rate is "2" // since the donuts per week is "2"
constant is 5 // comparing it with y = mx + c , we get c = 5
4 )
100 apples a year – 200 apples
here the rate is 100. // since the apples in a year is 100.
constant is -200 // on comparing it with y = mx + c => we get c = -200
Part II)
1)
we get $50 per hour
he earned a total of $400.
let the time worked by him be "t".
wage per hour * number of hours = total earning
50 * t = 400
t = 8 hours
2)
Jack makes $9.55 an hour.
let the time worked by him be "t".
he has already $ 50 saved up.
he have to save $ 403.35
total money = time * earning per hour + already saved amount
403.35 = t * 9.55 + 50
403.35 - 50 = t * 9.55
353.35 = t * 9.55
t = 37 hours
3)
inaz makes 3 pizza pies an hour
she has already made 5
how long will it take to make 38 pizza pies
let the time taken be t
38 = 3 * t + 5
38 - 5 = 3 * t
33 = 3 t
t = 11 hours
4)
Jaques rides 22.5 miles a day.
How long will it take him to accumulate 202.5 miles
let the time taken by him be t
22.5 * t = 202.5
t = 9 days