Most mornings, Kevin stops for coffee on the way to work. He spends $27 each month on coffee. In addition, he likes to occasionally go out to lunch with his coworkers. This month, he is trying not to spend more than $87 on both coffee and lunch out. If he spends an average of $6 each time he eats lunch out, and x represents the number of times he eats out, which of the inequalities represents this situation?

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step-by-step explanation:

whatvare the choices

step-by-step explanation:

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

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