In basketball you score 2 points for a field goal and 1 point for a free throw. suppose that you have scored at least 3 points in every game this season, and have a high season score of 15 points in one game. how many field goals and free throws could you have made in any one game?

2x + y ≤ 15
x + y ≥ 3

write one possible solution to the problem in sentence form

There are 2 points for a field goal, and 1 point for a free throw.

 x=Points scored for a field goal

 y=Points scored for a free throw

It is also given that, you have scored at least 3 points in every game this season, and have a high season score of 15 points in one game.

 2x+y≤15

x+y≥3

Plotting the inequality on two dimensional xy plane

The solution set through graph is attached below.

One possible solution is

x=5 field goals

y=5 free throw

⇒In a game I have made 4 field goals and 3 free throws. So total number of points scored in game will be 4×2+3=11 points.

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages