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Mathematics 53 Online
silvernight269:

in 2006, the attendance at the Columbus Zoo and Aquarium was 1.6 million. in 2009 the z's attendance was about 2.2 million. a) write a linear equation to find the attendance (in millions) y after x years. let x be the number of years since 2000. b) estimate the zoo's attendance in 2020

Vocaloid:

if x is "years after 2000" then 2006 means x = 6 and 2009 means x = 9 so you would find the equation for (6, 1.6M) and (9,2.2M)

Vocaloid:

M = 1 million

silvernight269:

so i got 2.2m-1.6m/9-6 then that equals 0.6/3=0.2 Right?

Vocaloid:

yeah so your slope would be 0.2 million

Vocaloid:

then find b by plugging in a point into y = mx + b

Vocaloid:

1.6 million = 0.2 million * (6) + b solve for b

silvernight269:

1.6m=1.2m+b

Vocaloid:

good so b would be 0.4 million

Vocaloid:

actually since they want the answer expressed in millions you can just drop the "million" to get b = 0.4 and m = 0.2

silvernight269:

y=.2x+.4

Vocaloid:

good, that's a) done for b) just let x = 20 and find y

silvernight269:

y=4.4

Vocaloid:

yup good

Vocaloid:

for part b I would specify 4.4 million

silvernight269:

ok

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