Question

Question #d0456

Answer 1

x is the independent variable, y is the dependent variable.
Domain: `[0,20]`
Range: `($2.80, $72.80]`

Explanation:

The "independent" variable is called such because its value does not depend on any other variable. The "dependent" variable does depend on another variable, and the dependent variable is usually represented as a function of other variables. In this case, x is the independent variable and y is the dependent (because y is a function of x).

X in this case represents the distance you travel, and y the cost of the trip

If you can travel up to 20 miles, then your domain is `[0,20]` (since you could travel any distance between 0 miles and 20 miles, including 20 miles).

Your range lower bracket will be 2.8 noninclusive (noninclusive because if you did go 0.00 miles exactly, you wouldn't even get in the car, and thus wouldn't be paying a fare). Your upper limit for the range will be `y(x=20) = 3.5(20)=2.8 = $72.80`. In this case the upper value is included because it is what you will be charged if you travel the full 20 miles. Thus:

Domain: `[0,20]`
Range: `($2.80, $72.80]`