The mathematical model representing the scenarios described can be expressed as follows :
- If n ≤ 8 ; A(n) = 31.25n
- If n > 8 ; A(n) = 31.25 + 46.875(n - 8)
1.)
Amount paid per 8 hours at summer job = 250
Additional hours beyond, 8 hours = 1.5 × hourly rate
Let:
- hourly rate = p
- Number of hours worked = n
- Amount earned as a function of n, A(n)
Hourly rate, p = (250 ÷ 8) = 31.25
Therefore, the hourly rate, p at the summer job = $31.25
Overtime pay = 1.5 × 31.25 = $46.875
Therefore,
If n ≤ 8 ; A(n) = 31.25n
If n > 8 ; A(n) = 31.25 + 46.875(n - 8)
2.)
Let :
- Number of playing hours = n
- Total amount charged as a function of n ; T(n)
Therefore,
T(n) = First hour fee + (charge per additional hour × number of additional hours)
T(n) = 15 + 5(n - 1)
Therefore, the models can be used to calculate the total earning and amount charged for any given hour value.
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Answer:
-5
Step-by-step explanation:
2x-6
2(.5)-6
1-6
-5
Answer:
first option;
x-int: -5, 1
y-int: -1
Step-by-step explanation:
<u>x-int:</u> describes where the function touches the x-axis (left to right). This function touches the points (0,-5) and (0,1).
<u>y-int:</u> describes where the function touches the y-axis (up and down). This function touches the point (0,-1).
Surface area of cone = πr(r+√(h2+r2))
where r is the radius of the circular base
h is the height of coneOr
Surface area of cone =πr(r+L)
where L is the slant height of the cone
multiple each number by 82
8,200
82,000
820,000
