Ryan has his own business selling watches, and he wants to monitor his profit per watch sold. The expression 200x-300/x models t
he average profit per watch sold, where x is the number of watches sold.
Part A
What does the numerator of this rational expression represent?
Part B
What does the denominator of this rational expression represent?
Part C
Rewrite the expression 200x-300/x as a sum of two fractions, and simplify.
Part D
What does each part in the expression from part C represent?
Part E
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x-50 models Ryan’s additional income. What is the expression that models the new average profit, including the bands? Note: to obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
15 points please help me!!!! PLZZZZZ
Part A
What does the numerator of this rational expression represent?
Part B
What does the denominator of this rational expression represent?
Part C
Rewrite the expression 200x-300/x as a sum of two fractions, and simplify.
Part D
What does each part in the expression from part C represent?
Part E
Ryan also earns money by selling colored watch bands with the watches he sells. The linear expression 100x-50 models Ryan’s additional income. What is the expression that models the new average profit, including the bands? Note: to obtain the new average profit expression, add the linear expression to the original rational expression. Write the new profit expression as one fraction.
15 points please help me!!!! PLZZZZZ
1 answer:
You might be interested in
So that is equal to 180 miles per 2 hours which is 90 miles per hour if each hour has the same m/hr rate.
You can set up a proportion:
let x = number of miles per hour
cross multiply and you get
2x=180
divide both sides by 2 and you get
x=90
so you get the same answer both ways,
90 miles per hour
You can set up a proportion:
let x = number of miles per hour
cross multiply and you get
2x=180
divide both sides by 2 and you get
x=90
so you get the same answer both ways,
90 miles per hour
Given:
- There are two savings accounts - account A has $150 and account B has $300 to begin with.
- Malorie deposits $16 in account A and $12 in account B every month.
To Find:
The number of months where the balance of both is equal and the balance itself.
Solution:
In 37.5 months, the account balances in both accounts will be equal.
This balance will be equal to $750 in both account A and B.
Calculation:
Let x be the number of months where both the accounts have equal balance.
So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).
And the total amount at the end of x months will therefore be $(150+16x)
Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).
And the total amount at the end of x months will therefore be $(300+12x)
By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation
Therefore, in 37.5 months, the account balances in both accounts will be equal.
This balance will be equal to i.e. $750 will be the balance in both account A and B.