Kim needs $100 to buy a new bike she decides to save her money the first week she saves $1.00 the second week she saves $2.00 the third week she saves $8.00 if kim continues saving with this pattern which week will she have enough money to buy the bike
a: week 8
b: week 9
c: week 6
d: week 7
D and c are wrong
1,2,8 ...
isn't much of as pattern.
double, cube, 4th power, ...??
*1, *2, *2^2, ... ??
I can think of many ways to continue from 8 onward.
I am also befuddled :(
To find out which week Kim will have enough money to buy the bike, we need to determine the total amount of money she saves each week using the given pattern and check when it reaches $100.
We can see that there is a pattern in the amounts Kim saves each week. Let's list out the amounts she saves for the first few weeks:
Week 1: $1.00
Week 2: $2.00
Week 3: $8.00
From the given pattern, we can see that for each week, Kim saves an amount that is double the previous week's savings. Therefore, the amount Kim saves each week can be calculated using the formula: 2^(week number - 1).
Now, let's calculate the total savings after each week:
Week 1: $1.00
Week 2: $1.00 + $2.00 = $3.00
Week 3: $3.00 + $8.00 = $11.00
Week 4: $11.00 + $16.00 = $27.00
Week 5: $27.00 + $32.00 = $59.00
Week 6: $59.00 + $64.00 = $123.00
We can see that Kim will have enough money to buy the bike in Week 6. Therefore, the correct answer is:
c: week 6