Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suit case under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two and describe any simplification that can be done.

450+6(x-2) This is what i got but that would be wrong because there was no simplifying.

Question

Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suit case under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two and describe any simplification that can be done.


450+6(x-2) This is what i got but that would be wrong because there was no simplifying.

anonymous · Answer

@shamil98

anonymous · Answer

@primeralph

anonymous · Answer

if i simplify would that make it different?

shamil98 · Answer

450 + 6(x-2)
450 + 6x -12
438 + 6x

anonymous · Answer

ok see i was thinking of simplifying it to 450+6x-12 and keeping it that way and I thought it would mess it up thank you.

shamil98 · Answer

actually wait..

shamil98 · Answer

Her money is 450
she earns money for f(x) = 6(x-2)
f(x)= 6x - 12

anonymous · Answer

yah wait that would mess it up because 450 should not be altered due to its in the suitcase

anonymous · Answer

but you have to combine the total of 450 and the extra money she earns into one equation

shamil98 · Answer

450 + (6x-12)
450 + (12 -12)
450 + 6(2) - 12 is the same

I would leave it as (6x-12) + 450 = f(x)

anonymous · Answer

would it be the same as f(x) = 450+(6x+12)

shamil98 · Answer

no +12 and -12 are different

shamil98 · Answer

if that is what you are asking.. ?..

anonymous · Answer

nvm