Solving systems of Equations Word Problems - CLASSWORK
1 answer:
Answer:
Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's
Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's
Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters
Part D) The cost is $90
Step-by-step explanation:
Let
x-------> the number of hours (independent variable)
y-----> the total cost of rent scooters (dependent variable)
we know that
Sam's scooters
Rosie's scooters
using a graphing tool
see the attached figure
A. when does it make more sense to rent a scooter from Rosie's? How do you know?
For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters
B. when does it make more sense to rent a scooter from Sam's? How do you know?
For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters
C. Is there ever a time where it wouldn't matter which store to choose?
Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)
D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?
Rosie's scooters
For x=7 hours
substitute
The cost is $90
You might be interested in
Answer:
(a) The number of different lock combinations is 216,000.
(b) The probability of getting the correct combination in the first try is .
Step-by-step explanation:
The lock has three-cylinder combinations with 60 numbers on each cylinder.
The procedure of the opening lock is to turn to a number on the first cylinder, then to a second number on the second cylinder, and then to a third number on the third cylinder.
The numbers can be repeated.
(a)
There are three cylinder combinations on the lock, each with 60 numbers.
It is provided that repetitions are allowed.
Then each cylinder can take any of the 60 numbers.
So there are 60 options for the first cylinder.
There are 60 options for the second cylinder.
And there are 60 options for the third cylinder.
So the total number of possible combinations is:
Total number of combinations = 60 × 60 × 60 = 216000.
Thus, the number of different lock combinations is 216,000.
(b)
The events of getting a correct combinations of the three-cylinder combination lock implies that all the three cylinder are set at the correct numbers.
Each cylinder has 60 numbers.
This implies that there are 60 possible ways to get a correct number for the first cylinder.
The probability of getting the correct number for the first cylinder is:
P (Number on 1st cylinder is correct) = .
Similarly for the second cylinder the probability of getting the correct number is:
P (Number on 2nd cylinder is correct) = .
And similarly for the third cylinder the probability of getting the correct number is:
P (Number on 3rd cylinder is correct) = .
So the probability of getting the correct combination in the first try is:
P (Correct combination in the 1st try) = .
Thus, the probability of getting the correct combination in the first try is .