The Social Justice Club is going to rent a mammoth barbeque to cook the hot dogs for the hot dog sale After contacting three ren
tal companies in town, you have found out that each
one will deliver and pick up their barbeque. The cost of propane is included in the rental. The rental costs are indicated below.
Rental A: $15/h
Rental B. $5/h + 50
Rental C. $9/h + 20
1. Write an equation that models the rental cost, C, for each company
2 Graph all three models onto the same set of coordinate axis.
3. Which rental company should be chosen if you use the barbeque during lunch (11:05 - 12 30) and keep the barbeque to continue sales during the football game that will end about
4 30? Justify your answer
4. Which rental company should be chosen if your school lunch hours run from 11:05 - 12.30? Justify your answer
5 Which rental company should be chosen if your school returned the barbeque the following day? Justify your answer.
one will deliver and pick up their barbeque. The cost of propane is included in the rental. The rental costs are indicated below.
Rental A: $15/h
Rental B. $5/h + 50
Rental C. $9/h + 20
1. Write an equation that models the rental cost, C, for each company
2 Graph all three models onto the same set of coordinate axis.
3. Which rental company should be chosen if you use the barbeque during lunch (11:05 - 12 30) and keep the barbeque to continue sales during the football game that will end about
4 30? Justify your answer
4. Which rental company should be chosen if your school lunch hours run from 11:05 - 12.30? Justify your answer
5 Which rental company should be chosen if your school returned the barbeque the following day? Justify your answer.
1 answer:
Answer:
(A)Cost of Rental A, C= 15x
Cost of Rental B, C=5x+50
Cost of Rental C, C=9x+20
(B)
i. Rental C ii. Rental A iii. Rental B
Step-by-step explanation:
<u>Part 1</u>
Let x be the number of hours of the barbeque use by the club.
Rental A: $15/h
Cost of Rental A, C= 15hx
Rental B: $5/h + 50
Cost of Rental B, C=5x+50
Rental C: $9/h + 20
Cost of Rental C, C=9x+20
<u>Part 2</u>
The graph of the three models is attached below
<u>Part 3(11.05-4.30)</u>
If the barbecue's usage hour is from 11.05 to 4.30 when the football match ends.
Number of Hours between 11.05am and 4.30pm=4 hours 25 Minutes = 4.42 Hours
Cost of Rental A, C= 15x=15(4.42)=$66.30
Cost of Rental B, C=5x+50 =5(4.42)+50=$72.10
Cost of Rental C, C=9x+20=9(4.42)+20=$59.78
Rental C should be chosen as it offers the lowest cost.
<u>Part 4 (11.05-12.30)</u>
Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours
- Cost of Rental A, C= 15x=15(1.42)=$21.30 Cost of Rental B, C=5x+50 =5(4.42)+50=$57.10 Cost of Rental C, C=9x+20=9(4.42)+20=$32.78
Rental A should be chosen since it offers the lowest cost.
<u>Part 5</u>
If the barbecue is returned the next day, say after 24 hours
- Cost of Rental A, C= 15x=15(24)=$360 Cost of Rental B, C=5x+50 =5(24)+50=$170 Cost of Rental C, C=9x+20=9(24)+20=$236
Rental B should be chosen as it offers the lowest cost.
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Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
__
The attached graph of the function confirms that the minimum is located at x=-1/2
_____
<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
Answer:
0.8973
Step-by-step explanation:
Relevant data provided in the question as per the question below:
Free throw shooting percentage = 0.906
Free throws = 6
At least = 5
Based on the above information, the probability is
Let us assume the X signifies the number of free throws
So, Then X ≈ Bin (n = 6, p = 0.906)
Now
The Required probability = P(X ≥ 5) = P(X = 5) + P(X = 6)
= 0.8973