Answer:
10 c > 85 + 2.5 c ⇒ answer A
Josh will need to sell 12 candles to make a profit
Step-by-step explanation:
- Josh is making candles for the craft fair
- He spent $85 to purchase a supply of wax, scents, and wick
- It costs him $2.5 for each glass jar he uses to pour the wax into
for the candles
- Josh will charge $10 for each candle
- Let c represent the number of candles he makes
- We need to find the minimum number of candles josh will need to sell
at the craft fair to make a profit
∵ The cost of making the c candles is $85 fixed amount for supplies
and $2.5 for each candle
∴ The cost price to make the c candles is 85 + 2.5 c
∵ He will charge each candle for $10
∴ The selling price of the c candles is 10 c
- To make a profit the selling price must be greater than the cost price
∵ The cost price of the c candles is 85 + 2.5 c
∵ The selling price of the c candles is 10 c
∴ To make a profit ⇒ 10 c > 85 + 2.5 c
* 10 c > 85 + 2.5 c
- Lets solve the inequality to find the minimum number of candles Josh
will need to sell to make a profit
∵ 10 c > 85 + 2.5 c
- Subtract 2.5 c from both sides
∴ 7.5 c > 85
- Divide both sides by 7.5
∴ c > 11.33
∴ The minimum number is 12 candles
* Josh will need to sell 12 candles to make a profit
Answer:
[tex]A. 10 c>85+2.5 c[/tex]
Step-by-step explanation:
We are given that
Josh spent money for wax,scents and wick=$85
Cost of each glass jar=$2.5
Cost of 1 candle=$10
Let c be the number of candles.
We have to find the minimum number of candles Josh will need to sell at the craft fair to make a profit.
Selling price of c numbers of candles=10 c
Money spend on c candles=85+2.5 c
According to question
[tex]10 c> 85+2.5 c[/tex]
Subtract 2.5 c on both sides
[tex]10c-2.5 c>85[/tex]
[tex]7.5c > 85[/tex]
Divide by 7.5 on both sides
[tex]c > \frac{85}{7.5}[/tex]
[tex]c>11.3[/tex]
The minimum number of candles are 12.
Hence, option A is true.
Answer:[tex]A. 10 c>85+2.5 c[/tex]
