Question

S = 70 x + 10 + x 7 , 10 ≤ x ≤ 100. Combine the terms of this function over a common denominator to create a rational function.

Answer 1

To create a rational function by combining the terms of the given function over a common denominator, rewrite the terms with a denominator of 70. Thus, the rational function becomes (70x + 500)/70.

Step-by-step explanation:

To combine the terms of the function over a common denominator, we need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 70 and 1. The LCM of 70 and 1 is 70, so we need to rewrite the terms of the function with a denominator of 70.

We can rewrite 70 as 70/1 and rewrite x as 70x/70 to get:

S = (70x/70) + (10/70) + (7/1) = (70x + 10 + 490)/70 = (70x + 500)/70

Thus, we have created a rational function by combining the terms of the original function over a common denominator of 70.