a) T - Calories, 2000 - <em>Minimum</em> calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.
<h3>How to analyse a linear function of calorie gain in terms of the exercise time</h3>
In this question we have a <em>linear</em> function where the <em>independent</em> variable is the exercise time (h), in hours, and the <em>dependent</em> variable is the calorie gain (T), in calories. The constant "2000" is the <em>minimum</em> calorie consumption and the constant "500" represents the amount of <em>additional</em> calories per each hour of exercise.
Now we proceed to respond the questions of the part a):
(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.
b) And lastly we calculate the amount of calories by evaluating the function:
T = 2000 + 500 · 3
T = 2000 + 1500
T = 3500
We should consume 3500 calories to spend three hours exercising.
<h3>Remark</h3>
The statement is incomplete, the complete form is shown below:
You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 + 500 · h
a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h
b) If you spend 3 hours exercising, how many calories should you consume?
To learn more on linear functions: brainly.com/question/21107621
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