Check Your Understanding!
1 answer:
Given :
Maximum capacity of fuel tank , M = 14 gallon .
It can travel approximately 26 miles with one gallon of gas.
To Find :
A function d(x), that gives the distance the Escape can travel with x gallons of gas in the tank.
Solution :
Car can travel 26 miles in one gallon of gas.
So , distance covered in x gallon of gas :
( Here, 0 ≤ x ≤ 14 ) or x ∈ [ 0 , 14 ] .
Hence , this is the required solution.
You might be interested in
9514 1404 393
Answer:
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
Step-by-step explanation:
My favorite "technology" for problems like this is the Desmos graphing calculator app or web service. It easily displays the vertex (and/or zeros) of the function.
Of course, vertex form is ...
f(x) = a(x -h)² +k . . . . . . . . vertex (h, k), leading coefficient 'a'
The solution is found by reading the graph and putting the numbers in the formula. The leading coefficient is copied from the standard form equation.
- vertex: (7.5, 2.25)
- f(x) = -(x -7.5)² +2.25
