The decimal approximations are:
The square root of 5 is about 2.2
The square root of 8 is about 2.8
pi is about 3.14
2 square roots of 5 are about 4.4
The numbers are also placed in order from least to greatest.
Child=x
Adult=y
y=3x
5.2x+9.9y=767.8
5.2x+9.9(3x)=767.8
5.2x+29.7x=767.8
34.9x=767.8
x=22
Subtract the fee from the total:
131- 35.50 = 95.50
Now divide that by the price per mile:
95.50/ 0.40 = 238.75
They drove 238.74 miles
You want to find the value of x for which the area under the curve to the left of x is 0.6. One way to do that is to create the cumulative distribution function (CDF) for the given PDF, then see where it is equal to 0.6.
Doing that, we find a = 5.
Its 25 for the second one