A) An equation that describes the cost c is C = 25h + 100 and the cost to rent for 2 hours is $150 B) On spending the cost $325, the boat is rented for 9 hours.
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Cost to rent a pontoon boat = $25 per hour
Initial deposit = $100
A) Equation that describes the cost c,
Let h be the hours
Now the equation of cost C is
⇒ [tex]C=25h+100[/tex] ------ (1)
For renting a pontoon boat at the lake for two hours is
⇒ [tex]C=25(2)+100[/tex]
⇒ [tex]C=50+100[/tex]
⇒ [tex]C=150[/tex]
B) If you end up spending $325, for how many hours did you rent the boat
Here, C = $325
Now, equation 1 becomes
⇒ [tex]325=25h+100[/tex]
⇒ [tex]325-100=25h[/tex]
⇒ [tex]225=25h[/tex]
⇒ [tex]h=\frac{225}{25}[/tex]
⇒ [tex]h=9[/tex]
Hence we can conclude that A) an equation that describes the cost c is C = 25h + 100 and the cost to rent for 2 hours is $150 B) On spending the cost $325, the boat is rented for 9 hours.
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