Answer:
1. f(2) = 6
2. Slope, m = [tex]$ \frac{7}{2} $[/tex]
Step-by-step explanation:
Problem 1:
Given f(x) = |3x|
To find f(2), substitute x = 2.
⇒ f(2) = |3(2)|
= |6|
= 6
Problem 2:
The given equation is: 2y = 7x + 8
The general equation of the line is: y = mx + c, where m is the slope of the line.
Therefore, we reduce the given equation to the general form of the line.
Dividing the given equation by 2, we get:
y = [tex]$ \frac{7}{2}x + \frac{8}{2} $[/tex]
[tex]$ \implies y = \frac{7}{2}x + 4 $[/tex]
Thus, slope, m = [tex]$ \frac{7}{2} $[/tex] which is the answer.
Problem 3:
Given with 14 gallons of gas, we can drive 392 miles.
The capacity of the tank if 14 gallons.
If 14 gallons can take us 392 miles, then 1 gallon of gas should take us: [tex]$ \frac{392}{14} $[/tex] miles.
= 28 miles/gallon of gas
Therefore, with 3.7 gallons of gas, we can travel 3.7 X 28 miles
= 103. 6 miles
