Question

Fitness Look back at Example 4 on page 80. Let s represent the time (in minutes) that you spend swimming. Write and simplify an expression in terms of s for the total number of calories you burn during your workout.

Short answer

The equation is$630-6s$ .

Step-by-step solution

Step-1 – Apply the concept of terms and like terms

In an algebraic expression, terms are separated by plus or minus signs.

The term coefficient refers to the number in front of the variable in any term of the expression.

A constantterm is the number which have no variable associated with it.

Like terms are the terms which have identical variable parts with same exponent on it. Constants are considered to be like terms as well.

Distributive property:$a(b+c)=a\cdot b+a\cdot c$

Step-2 – Define variable

Let s be the time in minutes spent in swimming.

So the time spent in jogging will be $45-s$.

Step-3 – Group and combine like terms

So, the total number of calories burned during the workout is

Calories per minute jogging x jogging time + calories per minute swimming x swimming time

$\begin{array}{c}14(45-s)+8s=14\cdot 45+14\cdot (-s)+8s\\ =630-14s+8s\\ =630-6s\end{array}$

Thus, the simplified expression is$630-6s$