Emily drives 1000km in the first week of her journey. Every week Emily increases the distance by 50%. So, in the second week she drives 1500km, and in the third week she drives 2250km.
How far will she have travelled altogether after 5 weeks?
A. 5062.5km C. 9650.5km
B. 8125.5km D. 10152.5km
Answer I got was 1000 + 1500 + 2250 + 3375 + 5062.5 = 13187.5, which is incorrect.
you have a geometric progression, with
a = 1000
r = 1.5
S5 = 1000(1.5^5-1)/(1.5-1) = 13187.5
The answer key is wrong.
Alright, thanks for confirming.
To calculate the total distance Emily will have traveled after 5 weeks, you need to add up the distances she drives each week.
In the first week, Emily drives 1000km.
In the second week, Emily drives 1500km (which is 150% of 1000km).
In the third week, Emily drives 2250km (which is 150% of 1500km).
In the fourth week, Emily drives 3375km (which is 150% of 2250km).
To find the distance Emily will travel in the fifth week, you need to calculate 150% of the distance she traveled in the fourth week. So, 150% of 3375km is 5062.5km.
Now, let's add up the distances:
1000km + 1500km + 2250km + 3375km + 5062.5km = 12,187.5km
Therefore, the correct answer is not among the options given.