Question

Jennifer ran a 10k last weekend, and the function t=8k represents the relationship between kilometers, k, and the total running time, t. What is the domain and range for the situation?

a) Domain: All real numbers; Range: All positive multiples of 8
b) Domain: All positive numbers; Range: All real multiples of 8
c) Domain: All real numbers; Range: All real multiples of 8
d) None of the above

Answer 1

Option C). The domain of the function is all real numbers and the range is all real multiples of 8.

Step-by-step explanation:

A function's range indicates its potential output values, or dependent variable, whereas its domain represents its potential input values, or independent variable. In this case, the relationship between kilometers, k, and total running time, t, is represented by the function t= 8k.

Since any real number can be a distance in kilometers, the domain is all real numbers since k represents kilometers.

We must take into account the values that t can take for the range. The range is all the values that can be obtained by multiplying any real number by 8, which gives us all real multiples of 8, because the function t= 8k multiplies k by 8.

Therefore, the correct answer is c) Domain: All real numbers; Range: All real multiples of 8.