$\"\"$

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As an army recruiter, Ms. Cooper is paid a daily salary plus commission.

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She recruits $\"\"$ and $\"\"$ peoples, she earns $\"\"$ and $\"\"$ .

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a.

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Write a linear equation.

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The two ordered pairs represent the number of recruits and the salary are $\"\"$ and $\"\"$ Find the slope.

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$\"\"$ .

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$\"\"$ (Formula for slope)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Subtract: $\"\"$ and $\"\"$ )

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$\"\"$ (Simplify)

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Therefore, the slope is $\"\"$ .

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$\"\"$

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Consider the ordered pair is $\"\"$ ; $\"\"$ .

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Point-slope form of the equation of a line is $\"\"$ .

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Write a linear equation.

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$\"\"$ (Formula for Point-slope of line equation)

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$\"\"$ (Substitute $\"\"$ and $\"\"$ )

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$\"\"$ (Distributive property: $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additive inverse property: $\"\"$ )

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Therefore, the slope intercept form of the line equation is $\"\"$ .

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$\"\"$

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b.

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Find the Ms. Cooper daily salary.

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The $\"\"$ -intercept of the equation $\"\"$ is $\"\"$ .

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Thus, Ms. Cooper daily salary is $\"\"$ .

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c.

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Find how much would Ms. Cooper earn in a day she recruits $\"\"$ people.

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply)

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$\"\"$ (Add: $\"\"$ )

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Hence, Ms. Cooper will earn $\"\"$ if she recruits $\"\"$ people.

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$\"\"$

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a. The linear equation is $\"\"$ .

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b. Ms. Cooper daily salary is $\"\"$ .

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c. Ms. Cooper will earn $\"\"$ she recruits $\"\"$ people.