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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1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle:
where
is the area
is the width
is the length
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so
and
. Lets replace those values in our formula:
square inches
Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism:
where
is the surface area
is the width
is the length
is the height
We already know those values, so lets replace them:
square inches
Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.
2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that
he has more than enough painting to paint his bird house.
Replace the x in g(x) by f(x):-
= 6(x^2 - 5)
= 6x^2 - 30 Answer
Its B
Answer: You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
Example look at the pic please 7,225 cm = ___ m
Meters is larger than centimeters, so you expect your answer to be less than 7,225.
Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.
Cancel similar units, multiply, and simplify.
Answer
7,225 centimeters = meters
Step-by-step explanation:
Answer:
9 cars=1 month.
18 cars= 2 months
36 cars= 3 months
72= 4 months
144= 5 months.
Add all cars which gives you a sum of 279 cars.