An amusement park is comparing guest attendance for the months of June and August. On the first day of each month, the park's attendance is 2,000 guests. The attendance in June increases by 10% each day. The attendance in August decreases by 10% each day. In each equation, y represents the attendance with respect to a number of days, x. Drag each equation to show whether it can be used to represent the attendance during June, August, or neither of these.
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slicergiza slicergiza · Answer 1 · 2019-11-07T09:04:22+01:00

Answer:

[tex]y=2000(1.1)^x[/tex]

[tex]y=2000(0.9)^x[/tex]

Step-by-step explanation:

Here, x represents the number of days,

y represents the attendance after x days,

Note : If a value is changing by a percent per period,

Then the final value after t period,

[tex]A=P(1+r)^t[/tex]

Where,

P = Initial value,

r = change rate per period,

Given,

For June,

Original attendance = 2,000,

Percentage change per day = 10%,

So, the attendance after x days,

[tex]y=2000(1+\frac{10}{100})^x=2000(1+0.1)^x=2000(1.1)^x[/tex]

For August,

Original attendance = 2,000,

Percentage change per day = -10%, ( negative sign shows the decrements ),

So, the attendance after x days,

[tex]y=2000(1-\frac{10}{100})^x=2000(1-0.1)^x=2000(0.9)^x[/tex]