Question

Quinton has an average resting heart rate of 70 beats per minute. When he runs, his heart rate increases by fewer than 50 beats per minute. If b represents his heart rate while running, which statements about the scenario are true? Check all that apply.
The inequality b=70<50 can be used to represent the situation.


The inequality b-50<70 can be used to represent the situation.


The graph of the solution set will be shaded to the left.


A possible value for b is 120.


A possible value for b is 140.

Answer 1

Answer:

1st and 3rd statements are true: 1) The inequality b=70<50 can be used to represent the situation and 2) The graph of the solution set will be shaded to the left.

Step-by-step explanation:

Lets look at this question step by step.

• Quinton has an average resting heart rate of 70 beats per minute so heart rate = 70
• His heart rate increases by fewer than 50 beats per minute so heart rate = <50 or 70<50
• B represents heart rate while running, so 70 is the average resting heart and after running the heart rate is b = 70<50.

Therefore, the first statement is true; The inequality b=70<50 can be used to represent the situation.

• The inequality b-50<70 can be used to represent the situation.

This cannot be true because as heart rate increases, it gets lesser than 50 so in this case, 50 is greater than 70 not lesser than 70.

Moreover, if we take 50 to the right side, it will be 70 + 50 = 120 which is wrong because b is supposed to be less than 50.

• The graph of the solution set will be shaded to the left.

This is true because b<50 and whenever there is a less than sign, the graph is shaded to the left.

• A possible value for b is 120.

• A possible value for b is 140.

These two statements cannot be true as be is supposed to be less than 50.

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