Wesley has punch cards for his favorite tea house and his favorite coffee shop. He currently has 6 punches on the tea punch card and 2 punches on the coffee punch card. Given his regular routine, he consistently earns 1 new punch per week on the tea punch card and 3 on the coffee punch card. Before too long, Wesley will have the same number of punches on each card. How many punches will Wesley have on each card?

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get