Question

suppose the number of people y (in hundreds) employed as asteroid miners can be estimated by the linear equation y = 33x + 560, where x is the number of years after 2002.
a. graph the linear equation.
b. does the point (5,725) lie on the line? if so, what does this ordered pair mean?
a. choose the correct graph.
b. does the point (5,725) lie on the line?

Explanation:

Step1: Substitute \(x = 5\) into the equation \(y=33x + 560\)

Substitute \(x = 5\) into the linear equation \(y = 33x+560\).

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Step2: Check if the point \((5,725)\) lies on the line

Since when \(x = 5\), \(y=725\) (from the calculation in Step 1), the point \((5,725)\) satisfies the equation \(y = 33x+560\).

Answer:

B. Yes. The ordered pair \((5,725)\) means that 5 years after 2002 (i.e., in 2007), the number of people employed as asteroid miners is 725 hundred (or 72500).