Aperson’s theoretical maximum heart rate (in heartbeats per minute) is 220 - x where x is the person’s age in years (20 ≤ x ≤ 65). when a person exercises, it is recommended that the person strive for a heart rate that is at least 50% of the maximum and at most 75% of the maximum. the system of linear inequalities that describes the given information is y> 120-1/2x (for 50% max heart rate) and y< 165-3/4x (for 75%). a. graph the system. place a photo or link below to your graph.

We are given that:

x is the age, and

y is the heart rate

It is also given that

Now, we have been given that the person’s theoretical maximum heart rate (in heartbeats per minute) is where x is the person’s age in years.

Therefore, 50% of is

Likewise, 75% of   is

Which is the same as The system of linear inequalities that describes the given information is y>120-1/2x (for 50% max heart rate) and y<165-3/4x (for 75%).

Thus, y will lie between these two extremes as:

The graph of the same is attached.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950