(answer all questions) use the graph to answer the questions below. 1) work the following financial transactions. your station charges $6.50 for a lubrication job. as a promotion, you sell six coupons for lubrication jobs for $32.50. what percentage discount are you offering for customers who purchase the 6-coupon lube book? discount (to the nearest tenth) = % 2) you estimate that it requires fifty minutes to serve 85 customers through a cafeteria line. if your normal lunch crowd averages 200 customers, about how much time will it take for the lunch crowd to go through the cafeteria line (assuming a constant flow of customers)? to the nearest minute minutes 3) your dining room facility seats 150 patrons. the present eating area is 60 ft. by 50 ft. you desire to expand it by 20%. how much should the whole area contain in square feet after it is expanded? sq. ft.

Problem One

Your base number is whatever 6 lube jobs would bring in. Then you have to get to 32.50 to calculate the discount. You are selling 6 tickets for 6.50

Total = 6.50 * 6 = 39.00 dollars.

This is a discount problem which means that you have to multiply by a percentage to get the number down to 32.50

39*(x/100) = 32.50     Multiply by 100

39 * x = 3250            Divide by 39

x = 3250 / 39 = 83.3%

But what is that 83.3%? It is not the discount. It is the% of 39 that 32.5 represents. So we have to take 83.3% from 100% to get the discount.

100% = 83.3 = 16.7% That is the discounted amount

Proof

39*16.7/100 = 6.51

If you take 6.51 away from 39, you ought to come pretty close to 32.50

39 - 6.50 = 32.50 Just as we predicted.

Problem Two

Set up a Proportion

85 customers / 50 minutes = 200 / x  Cross multiply

85x = 50 * 200

85x = 10000  Divide by 85

x = 10000 / 85 = 118 minutes which is just about 2 hours. Somebody is going to be awfully hungry by the time you are done.

Problem Three.

Present area (assuming a shape whose area is 60*50) = 3000 square feet.

You want to have an area that is 20% larger. The base number here is 3000 square feet.

To get 20% of the base number you just take 20% of the 3000

Increase = 20/100 * 3000 = 60000/100 = 600

That's not what is asked for. They want the new total area.

3000 + 600 = 3600 <<< Answer

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5