For number 9 & 10, consider the following senerio: Cody is saving for a new lapt

Question

For number 9 & 10, consider the following senerio: Cody is saving for a new laptop. He asks to write a function l that gives the amo ig of money he can spend on the laptop,d, uh terms of the number of months since he began saving, m.

For numbers 9 and 10, consider the following scenario: Cody is saving for a new laptop. He asks you to write a function l that gives the amount of money he can spend on the laptop, d, in terms of the number of months since he began saving, m. Better Buy is offering a promotion where Cody can purchase the laptop with a credit card. He will have zero percent interest as long as the laptop is paid in full within 6 months. Cody decides that this means he can buy the laptop 6 months early. Define, as a transformation of , the function ti that gives the amount of money he can spend on the laptop 9. 10. Cody's mom offers to match his savings dollar for dollar. Define, as a transformation of I, the function t2 that gives the amount of money he can spend on the laptop.

Explanation / Answer

Given: No. of months since he has been saving before buying the laptop is d

amount of money he can save on the laptop is m

the amount he can spend on the laptop is

l=d*m+c

where c represents other miscellenous fixed cost amounts.

9. In this case, the full amount has to be paid with in 6 months in order to avoid interest and the duration of savings also reduces by 6 months.

So cody will save an amount d for m-6 months and after m-12 months he starts his EMI's of t1/6 for 6 months.

thus the amount he can spend on the laptop is given by

t1 = d*(m-6) + c = d*m-d*6+c

t1=l-6d

10) His mother gives him one dollar to one dollar for getting a laptop, which means now he need to collect only half the amount he needed.

so the cash flow will be equal to

2d*(m')+c=d*m+c => m' = m/2

t2 = d*m/2 + c = d*m- d*m/2 + c

t2=l-(d*m/2)

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