A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t-shirts in the store, given that f(0) = 100?

f(n) = f(n - 1) • 0.3 + 25, n 0

f(n) = 100 - f(n - 1) • 0.3 + 25, n 0

f(n) = f(n - 1) • 0.7 + 25, n 0

f(n) = 100 - f(n - 1) • 0.7 + 25, n 0

Question

A store had 100 t-shirts. Each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. Which recursive function best represents the number of t-shirts in the store, given that f(0) = 100?

 f(n) = f(n - 1) • 0.3 + 25, n > 0

 f(n) = 100 - f(n - 1) • 0.3 + 25, n > 0

 f(n) = f(n - 1) • 0.7 + 25, n > 0

 f(n) = 100 - f(n - 1) • 0.7 + 25, n > 0

misty1212 · Answer

HI!!

misty1212 · Answer

if 30% of the t shirts were sold, then 70% remain

anonymous · Answer

So it would not be B right?

misty1212 · Answer

no it would not

anonymous · Answer

How would I solve this?

misty1212 · Answer

70% is $.7$ so go with 
$$f(n)=f(n-1)\times .7+25$$

misty1212 · Answer

the new amount is 70% of the previous amount, plus 25

misty1212 · Answer

don't worry about the 100, that is just the condition $f(0)=100$ it is not in the recursion

anonymous · Answer

okay, so now what is the next step?

misty1212 · Answer

there is no next step, that is the answer

anonymous · Answer

It would be C right ?

anonymous · Answer

@welshfella , @Ashsmashum1290

welshfella · Answer

yes misty is absolutely correct