Question

janelle practices basketball every afternoon in driveway.Each day,her goal is to make 4 more baskets than she made the day before. if she makes 10 baskets the first day and meets her goal for 2 weeks,howmany baskets will janelle make on the 14th day?

Answer 1

Janelle will make 62 baskets on the 14th day.

Step-by-step explanation:

To find out how many baskets Janelle will make on the 14th day, we need to determine the pattern of her daily progress. We know that each day she wants to make 4 more baskets than the day before. Let's calculate her daily progress for the first few days:

• Day 1: 10 baskets
• Day 2: 10 + 4 = 14 baskets
• Day 3: 14 + 4 = 18 baskets

As we can see, Janelle starts with 10 baskets on the first day, then adds 4 more baskets each day. So, we'll add 4 baskets to her total for each day until we reach the 14th day:

Day 4: 18 + 4 = 22 baskets

Day 5: 22 + 4 = 26 baskets

...

Day 14: 10 + (13 x 4) = 10 + 52 = 62 baskets

Answer 2

In the given question, there are several information's worth noting. Based on these given information's the actual answer to the question can be found. She makes 10 baskets on the first day and then increases the number of baskets by 4 on every consecutive days. So the thing that needs to be found is the number of baskets he makes on the 14th day. This is an arithmetic progression problem.
Now if we consider the 14th day as the Nth term, then we can write the equation as
A(N) = 4(N - 1) + 10
A(14) = 4(14 - 1) + 10
A(14) = (4 * 13) + 10
= 52 + 10
= 62
So Janelle will make 62 baskets on the 14th day.