Bobby’s uncle gave him 300 baseball cards. each week, bobby purchases 40 baseball cards to add to his collection.

which inequality can be used to find w, the number of weeks after starting his collection when bobby will have more than 700 baseball cards in his collection?

a)
300w + 40 > 700

b)
300w + 40 < 700

c)
40w + 300 > 700

d)
40w + 300 < 700

C )   40w + 300 > 7--

Step-by-step explanation:

Since he starts off with 300 cards, the equation must have +300 units. As he purchases 40 each week, the rate of change is 40w. Since his goal is over 700, look for >700.

Therefore 40w + 300 > 700

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for