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Vsevolod [243]
3 years ago
8

Matt and Seth purchase baseball cards each week. the amount of cards they each have in their collection is shown in the graph an

d table. who will have more cards in week 20?

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

At the end of Week 20;

Seth has 58 balls

Matt has 20 balls

Seth has more balls

Step-by-step explanation:

The graph shows a progression

Week 1:

Matt has 1, Seth has 22

Week 5:

Matt has 5, Seth has 30:

Week 9:

Matt has 9, Seth has 38

For Matt, the progression shows that;

Matt bought (5 - 1) baseball's between week 1 and 5 and (9 - 5) between week 9 and 5

(5 - 1) balls = (9 - 5) balls

=> 4 balls = 4 balls

(9 - 5) weeks = (5-1) weeks

4 weeks = 4 weeks

4 weeks = 4 balls. --- divide by 4

1 weeks = 1 ball

This means that Matt buys a ball per week; Common difference = 1

For Matt, the progression shows that;

Matt bought (30 - 22) baseball's between week 1 and 5 and (38 - 30) between week 9 and 5

(30 - 22) balls = (38 - 30) balls

=> 8 balls = 8 balls

(9 - 5) weeks = (5-1) weeks

4 weeks = 4 weeks

4 weeks = 8 balls. --- divide by 4

1 seek = 2 ball

This means that Sett buys 2 balls ball per week --- Common difference = 2

Calculating their balls at week 20;

Using the following formula

Tn = a + (n-1)d.

Where a = first term

n = nth term

d = common difference

For Matt

a = 1

d = 1

n = 20

Tn = a + (n-1)d becomes

T20 = 1 + (20 - 1) * 1

T20 = 1 + 19 * 1

T20 = 20

For Seth

a = 22

d = 2

n = 20

Tn = a + (n-1)d becomes

T20 = 22 + (20 - 1) * 2

T20 = 22 + 19 * 2

T20 = 22 + 38

T20 = 58.

At the end of Week 20;

Seth has 58 balls

Matt has 20 balls

Seth has more balls

My name is Ann [436]3 years ago
6 0

Answer:

Seth will have more cards in 20 weeks. The reason for this is because Seth gains 4 more cards a week while Matt only gains 2 More cards a week. So in 20 weeks Seth will have 80 Baseball cards while Matt has 40 Cards.

Step-by-step explanation:


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