The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x
He sells used drones at 70% of the price (x).
So, the selling price of a used drone is:
![\mathbf{Used = 70\% \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7BUsed%20%3D%2070%5C%25%20%5Ctimes%20x%7D)
Express percentage as decimal
![\mathbf{Used = 0.7 \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7BUsed%20%3D%200.7%20%5Ctimes%20x%7D)
![\mathbf{Used = 0.7x}](https://tex.z-dn.net/?f=%5Cmathbf%7BUsed%20%3D%200.7x%7D)
Also, he sells new drones at 15% more of the price (x).
So, the selling price of a new drone is:
![\mathbf{New= (1 + 15\%) \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7BNew%3D%20%281%20%2B%2015%5C%25%29%20%5Ctimes%20x%7D)
Express percentage as decimal
![\mathbf{New= (1 + 0.15) \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7BNew%3D%20%281%20%2B%200.15%29%20%5Ctimes%20x%7D)
![\mathbf{New= 1.15 \times x}](https://tex.z-dn.net/?f=%5Cmathbf%7BNew%3D%201.15%20%5Ctimes%20x%7D)
![\mathbf{New= 1.15x}](https://tex.z-dn.net/?f=%5Cmathbf%7BNew%3D%201.15x%7D)
The amount saved is the difference between the prices of the drones.
So, we have:
![\mathbf{Saved =New - Old}](https://tex.z-dn.net/?f=%5Cmathbf%7BSaved%20%3DNew%20-%20Old%7D)
This gives
![\mathbf{Saved =1.15x- 0.7x}](https://tex.z-dn.net/?f=%5Cmathbf%7BSaved%20%3D1.15x-%200.7x%7D)
Subtract
![\mathbf{Saved =0.45x}](https://tex.z-dn.net/?f=%5Cmathbf%7BSaved%20%3D0.45x%7D)
Express as a function
![\mathbf{f(x) = 0.45x}](https://tex.z-dn.net/?f=%5Cmathbf%7Bf%28x%29%20%3D%200.45x%7D)
Hence, the function for the amount saved is f(x) = 0.45x
Read more about proportions at:
brainly.com/question/13114933
Answer:
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8 hope this helps!!! :)
Step-by-step explanation:
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Multiply by 1
Combine multiplied terms into a single fraction
Multiply by 1
Add
to both sides of the equation
Answer:
Step-by-step explanation:
Part A
Cost = T - (15/100) * T
Cost = (85/100)*T
Part B
You are asked to take 15% off the cost of something. The first equation is very clear how to do that -- just take 15% of T away from T
The second part is not so obvious if you are not familiar with it, but the result will be the same.
Start with the first equation
Cost = T - (15/100) T Change 1 T to 100 / 100
Cost = 100*T/100T - 15/100T
Cost = 85 /100 * T
Part C
Cost = Phone - 14 at Top quality. Red in Graph below
Cost = 75/100 * Phone at Big value. Blue in Graph belos
The graph below is a good way to answer this. I won't solve it algebraically when the graph will give you a much better idea which phone to get.
Answer: Up to a phone cost of 55 dollars, the red phone is the better buy.
After 55$ the blue phone is better.
Try this with a couple of values for phone,
1/10 is the probability.
You find this by putting 25/250 and simplifying.
Answer:
0
Step-by-step explanation:
And my day is great lol