Question

A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the
number of days, t, since the shipment arrived. Here is a table showing some values of d
Calculate the average rate of change for the following intervals:
a. day 0 to day 5

b. day 15 to day 20
t d(t)
0 2,000
5 1,283
10 823
15 528
20 338

Answer 1

The average rate of change:

a. -143.4 decks per day

b. -38 decks per day.

Important information:

• A store receives 2,000 decks of popular trading cards.
• The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived.

The calculation is as follows:

a.

For day 0 to day 5

$= (1,283 - 2000) \div (5 - 0)\\\\= -717 \div 5\\\\= -143.4$

b.

For day 15 to day 20

$= (338-528) \div (20-15)\\\\= -190 \div 5\\\\= -38$

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