Answer: the second one is correct. Both of these pairs work for the equation
Y=40 miles
work shown in the picture
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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Mid point of the points PQ is (₋0.3 , 3.25)
Given points are:
P(₋2 , 2.5)
Q(1.4 , 4)
midpoint of PQ = ?
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.
The midpoint calculation is the same as averaging two numbers. As a result, by adding any two integers together and dividing by two, you may find the midpoint between them.
Midpoint formula (x,y) = (x₁ ₊ x₂/2 , y₁ ₊ y₂/2)
we have two points:
P(₋2,2.5) = (x₁,y₁)
Q(1.4,4) = (x₂,y₂)
Midpoint = (₋2 ₊ 1.4/2 , 2.5₊4/2)
= (₋0.6/2 , 6.5/2)
= (₋0.3 , 3.25)
Hence we determined the midpoint of PQ as (₋0.3 , 3.25)
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Answer: I think it's B but i might be wrong