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for the following situation,(a) write an equation in the form y=mx+b, (B) find and intercept the ordered pair associated with the equation for x=5, and (c) answer the question. there is a $40 fee to rent a chain saw,plus $9 per day.let x represent the number of the days the saw is rented and y represents the charge to the user in dollara.if the total charge is $184, for how many days is the saw rented? write an equation in the form y=mx+b that represents this situation.



Answer :

Let x represent the number of the days the saw is rented and y represents the charge to the user in dollar

There is a $40 fee (constant) to rent a chain saw plus $9 per day (9x)

a) m is the charge per day

b is the constant

[tex]y=9x+40[/tex]

b) Find y when x=5

[tex]\begin{gathered} y=9(5)+40 \\ y=45+40 \\ y=85 \end{gathered}[/tex]

For 5 days of rent the saw the charge is $85

Ordered pair (5,85)

c) if the total charge is $184, for how many days is the saw rented?

Solve x when y=184

[tex]\begin{gathered} 184=9x+40 \\ 184-40=9x \\ 144=9x \\ x=\frac{144}{9} \\ \\ \\ x=16 \end{gathered}[/tex]

The saw was rented for 16 days

Then, the equation for the situation is y=9x+40; the ordered pair for x=5 is (5,85) and it means that for 5 days of rent the saw the charge is $85; and if the total charge is $184 the saw was rented for 16 days

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