Answer:
Therefore $98 is be charged a bus containing 30 people.
Step-by-step explanation:
Given that,
A state park charges an entrance fee based on the number of people in vehicle.
Let the entry fee for the vehicle be E and entry fee for each person be x.
Then
C= E+(P×x)
C= Total charge in $
E= entry fee for a vehicle
P=No. of person
x= Entry charge per person.
Given A car containing 2 people charged $14
C=$14, P=2
∴14= E+(2× x)
⇒E+2x=14.....(1)
Again A car containing 4 people charged $20
C=$20, P=4
∴20= E+(4× x)
⇒E+4x=20.....(2)
Subtract (1) from (2), we get
E+4x-(E+2x)= 20-14
⇒E+4x-E-2x=6
⇒2x=6
⇒x=3
Putting the value of x in equation (1)
E+(2×3)=14
⇒E=14-6
⇒E=8
Therefore E=$8 and x=$3
Next we check whether our assumption is correct or wrong. Putting the value of E and x for third case
Here P= 8
Therefore C= E+(P×x)
= 8+(8× 3)
=8+24
=$32
Therefore our assumption is correct.
Now C=? , P= 30
The charged for the 30 people is
C= $[8+(30×3)]
=$[8+90]
=$98
Therefore $98 is be charged a bus containing 30 people.
Answer:
<em>K = 4.8</em>
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
F = 95K - 455.67
We are required to find the value of K when F=0:
95K - 455.67 = 0
Adding 455.67:
95K = 455.67
Dividing by 95;
K = 4.8
answer:
x < 44
step-by-step explanation:
- solve this like an equation
<u>3/4x < 33</u>
- in order to solve this we can multiply this with the denominator first to cross out the fraction and be left with a whole number
3/4x < 33
3/4x(4) < 33(4)
3x < 132
x < 44
