14 of 2014 of 20 Items
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Question
A tech company sells apps at a constant rate. After 8 days, the company has sold 400 apps. Sales continue at the same rate.
Which table shows the relationship between the number of days, x, and the number of apps sold, y?
Responses
A
App Sales
Days, x Number of Apps Sold, y
15 400
20 800
25 1,200
30 1,600 App Sales Days, x Number of Apps Sold, y 15 400 20 800 25 1,200 30 1,600
B
App Sales
Days, x Number of Apps Sold, y
15 100
20 500
25 900
30 1,300 App Sales Days, x Number of Apps Sold, y 15 100 20 500 25 900 30 1,300
C
App Sales
Days, x Number of Apps Sold, y
15 400
20 408
25 416
30 424 App Sales Days, x Number of Apps Sold, y 15 400 20 408 25 416 30 424
D
App Sales
Days, x Number of Apps Sold, y
15 750
20 1,000
25 1,250
30 1,500
App Sales
Days, x Number of Apps Sold, y
15 750
20 1,000
25 1,250
30 1,500
To find the relationship between the number of days and the number of apps sold, we need to observe the given information.
After 8 days, the company has sold 400 apps. Sales continue at the same rate.
Let's examine the options:
Option A:
App Sales
Days, x Number of Apps Sold, y
15 400
20 800
25 1,200
30 1,600
Option B:
App Sales
Days, x Number of Apps Sold, y
15 100
20 500
25 900
30 1,300
Option C:
App Sales
Days, x Number of Apps Sold, y
15 400
20 408
25 416
30 424
Option D:
App Sales
Days, x Number of Apps Sold, y
15 750
20 1,000
25 1,250
30 1,500
Based on the given information, we see that after 8 days, the company has sold 400 apps.
The table that shows this relationship is Option A:
App Sales
Days, x Number of Apps Sold, y
15 400
20 800
25 1,200
30 1,600
So, the correct answer is Option A.
To find the relationship between the number of days and the number of apps sold, we need to analyze the given information.
The question states that after 8 days, the company has sold 400 apps, and sales continue at the same rate. This means that the company sells 400 apps in 8 days.
To find the rate at which the company sells apps, we can divide the number of apps sold by the number of days:
Rate = Number of Apps Sold / Number of Days
Rate = 400 / 8 = 50
So, the company sells apps at a rate of 50 apps per day.
Now, let's use this information to analyze the given table options:
Option A:
Days, x Number of Apps Sold, y
15 400
20 800
25 1,200
30 1,600
In this table, the number of apps sold is increasing by 400 for every 5 days. However, since the company sells apps at a constant rate of 50 apps per day, this table does not represent the correct relationship.
Option B:
Days, x Number of Apps Sold, y
15 100
20 500
25 900
30 1,300
In this table, the number of apps sold is increasing, but it does not follow a consistent rate. This table also does not represent the correct relationship.
Option C:
Days, x Number of Apps Sold, y
15 400
20 408
25 416
30 424
In this table, the number of apps sold is increasing by 8 for every 5 days. However, since the company sells apps at a constant rate of 50 apps per day, this table does not represent the correct relationship.
Option D:
Days, x Number of Apps Sold, y
15 750
20 1,000
25 1,250
30 1,500
In this table, the number of apps sold is increasing by 250 for every 5 days. Since the company sells apps at a constant rate of 50 apps per day, this table does not represent the correct relationship.
Therefore, the table that correctly shows the relationship between the number of days and the number of apps sold is option B:
Option B:
Days, x Number of Apps Sold, y
15 100
20 500
25 900
30 1,300