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serious [3.7K]
3 years ago
6

Kyle is renting a boat with this family at a lake. The rental company initially charges $50 for the boat plus the hourly fee sho

wn. The family plans to spend no more than $250 on the boat rental.
Mathematics
1 answer:
qaws [65]3 years ago
7 0
If they want to spend no more that $250, then they would be on the boat for 5 hours.
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y = \frac{11}{6} x + 5

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, 16 ) and (x₂, y₂ ) = (0, 5 )

m = \frac{5-16}{0-6} = \frac{-11}{-6} = \frac{11}{6}

the y-intercept = (0, 5 ) ⇒ c = 5

y = \frac{11}{6} x + 5 ← in slope-intercept form




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