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tamaranim1 [39]
3 years ago
9

Molly was allowed to trick or treat from 6:30 pm to 8:45pm if she averaged coating 2 houses every 9 minutes during that time how

many houses did she visit
Mathematics
1 answer:
MissTica3 years ago
3 0

Answer:

30 houses

Step-by-step explanation:

Time from 6:30 pm to 8:45 pm = 2 hr 15 min

Time in minutes = (2 hr × 60 min/hr) + 15 min = 135 min

Average visit = 9 min per 2 houses = 4.5 min per house

Number of visits = 135 min ÷ 4.5 min/house = 30 houses

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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

slope =  \frac{y(b) - y(a)}{x(b) - x(a)}  \\

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slope =  \frac{ - 6}{3}  \\

slope =  - 2

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We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

y - y(0) = m \times ( \: x - x(0) \: )

x(0) = x - coordinate \:  \: of  \:  \: through \:  \: point \\

y(0) = y - coordinate \:  \: of \:  \: through \:  \: point \\

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I choose point (( a )) to put in the equation.

y - 7 =  - 2 \times (x - 0)

y - 7 =  - 2x  + 0

y - 7 =  - 2x

Add sides 7

y - 7 + 7 =  - 2x + 7

y =  - 2x + 7

This the slope-intercept form .

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