(graphical information from CORD Math)

The graph above can be used to locate safe and unsafe speed zones.
The lower shaded region is a safe-speed zone where d < 55t. 
(d is less than 55t for any pair (t, d) in this region)
The upper region is an unsafe-speed zone where d > 55t.

a.)  The coordinate (3, 165) lies on the line d = 55t.  What does the number 165 mean?

b.)   At what speed would a car be traveling to satisfy coordinates A(3, 275)?  Is this speed safe according to this graph?

c.)  At what speed would a car be traveling to satisfy coordinates B(5, 220)?  Is this speed safe according to this graph?
 

a.)  What inequality is depicted by this see-saw?

b.)  Solve the inequality for x?
 

Herman decides to take up golf.  His golf club membership will cost $450 for the season and he will be charged $18 for each round of golf that he plays.  Herman has decided not to spend more than $1000 on golf for the season.

a.)  Write an inequality that describes the relationship between the maximum amount Herman wants to spend and the total golf costs for the season.

b.)  Solve the inequality to determine the maximum number of rounds of golf he can play yet not exceed his $1000 limit.

Pizza Palace is running a promotional sale on cinnamon sticks.  The hope is to attract more customers into the shop who will also buy a pizza with two toppings at the regular price.  The Pizza Palace will lose $0.78 on very cinnamon stick order.  The profit, however, on each pizza will be $1.32.

a.)  "Breaking even" is the worst the Pizza Palace is willing to accept.  They want the losses from the cinnamon sticks to be less than or equal to the profits from the pizzas.  Write an inequality expression for this situation.  Let c represent the number of cinnamon stick orders sold and p the number of pizzas.

b.)  Graph the inequality plotting the number of cinnamon stick orders on the horizontal axis and the number of pizzas on the vertical axis.  Indicate the region where the Pizza Palace will profit from the promotion.