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.
Learn more :brainly.com/question/18112348
Sum is the answer in addition, so add n and 5
n + 5
Step-by-step explanation:
surface area of a cone is givn by
A=πr'2 +πLr
A=414.48 sq.cm
Answer: (-1,-1) and (2,11)
Step-by-step explanation:
A ratio will just be trying to find whole number versions of these decimals and then compare them side by side (always divide the larger number by the smaller number).
Therefore:
However, this isn't a proper ratio. <em>Generally</em>, ratios are whole numbers. Since it's 5.5, we can easily make this a whole number by multiplying it by 2. Keep in mind though, what we do to one number we do to the other! So:
, technically this is a better format since it's whole numbers, but it gives you the ratio (11:2) which is a bit tougher to interpret than (5.5:1)
Therefore, the ratio we'll use is 5.5:1 for simplicity's sake:
From this ratio, we can see that the red tablet is 5.5x the size of the white tablet.
Hope this helps! :)
