Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
> 
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
<h3>Answer: 32</h3>
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Work Shown:
Let
x = number of visits
y = total cost in dollars
The membership costs $18 no matter how many visits you do. If you make x visits, at $1 each, then it costs an additional 1*x = 1x = x dollars. This is added on top of the base membership fee. In total, we know that y = 18+x = x+18
We want the total y to be at most $50. Therefore
. The highest y can get is 50.
Let's replace y with x+18 and isolate x

y is replaced with x+18
subtract 18 from both sides

This tells us that we can make at most 32 visits. In other words, the maximum number of visits is 32.
✿ Domain is the Set of Values of x
⇒ Domain = { 10 , 15 , 19 , 32 }
✿ Range is the Set of Values of y (Images of x)
⇒ Range = { -1 , 5 , 9 }
First Option is the Answer
You should buy cookies, because .80 x200=160 , which is less than $200
Answer:
y = -13x+26
Step-by-step explanation:
13x+y=26
y= -13x+26