Applying and analysing functions

A closed rectangular shipping box with square base is to be made from 120 square inches of cardboard. What dimensions should the box be for maximum volume?

Choose the two equations that represent the problem. 

If Jennifer joins a fitness club that has an initial fee of $20 plus a monthly fee of $15 and Julissa's club charges $40 initially plus $10 per month you will use the slope intercept form, ​ (a)   for each. Jennifer's slope is ​ (b)   and Jennifer's initial fee is ​ (c)   , Julissa's slope is ​ (d)   and her y intercept is ​ (e)  

• 15
• 20
• 10
• 40

Asia is a salesperson for Quark Computer Company. Each month she earns $2500 as well as 1/6 of every sale she makes. What equation represents this situation?

• C = 6s - 2500

• C = 6s + 2500

• C = (1/6)s - 2500

• C = (1/6)s + 2500

Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month. Write a slope intercept equation for this.

A parachutist is 8,000 ft. above the ground when his parachute opens. Two minutes later, he is at a height of 4,500 ft.

Assuming he descends at a constant rate, use this information to determine how much time passes between the time he opens his chute and the time he reaches the ground.

• 4.57 minutes

• 7.14 minutes

• 17.5 minutes

• 6.25 minutes

If a company wants to make an open box with a volume of 3,000 cubic inches. What should be the lengths of the sides they need to cut out?

• 1 inch

• 5 inches

• 10 inches

• 15 inches

On a two-week job, a repairman works a total of 70 hours. he charges $75 plus $40 per hour. Which equation shows his rate of pay?

• y = 40x +75

• y = 75x + 40

• y = 45x + 70

• y = x

What is the absolute minimum?

• 4 hours

• 0 hours

• 0 degrees

• 95 degrees

After winter, the snow level was at a height 18 inches. It started to melt 3 inches per day.

Write an equation in slope-intercept form to describe the height of snow left in this situation.

• y + 18 = 3x

• y = -3x + 18

• y = 6

• y = 3x + 18

If the height of the tank is 8 meters what is its volume in cubic meters?