The school band director determined from past experience that if they charge t dollars for a ticket to the concert, they can expect attendance of 1000-50t. The director used this model to figure out that the ticket price needs to be $8 or greater in order for at least 600 to attend. Do you agree with his claim? Why or why not?

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lucic lucic · Answer 1 · 2020-01-29T07:05:10+01:00

You, don't agree with the claim. Valid claim, t ≤$8

Step-by-step explanation:

From experience as mentioned in the question, charging $ t , the expected attendance is 1000-50t.

If price of the ticket is t ≥$8, then attendance will be ≥600.

Checking the validity of this claim, lets assume t=$8 and use it in the equation;

Attendance= 1000-50t

Attendance=1000-50*8

Attendance=1000-400=600

However for t=9, attendance will be 1000-50*9=1000-450=550

This shows that for the number of people attending to be 600 and more, the value of t in dollars should be $8 or less, thus the claim in not valid.

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eudora eudora · Answer 2 · 2021-12-16T12:24:42+01:00

Given claim that the price needs to be $8 or greater in order for at least 600 to attend is not true.

Expression for the attendance has been given as,

Here, t = charge of one ticket

To prove this inequality "Price of the ticket needs to be $8 or greater for at least 600 to attend".

By substituting A(t) = 600 in the expression,

600 = 1000 - 5t

5t = 400

t = 80

Which reveals that for the attendance of at least 600, price of one ticket should be at least $80.

Therefore, given claim is not true.

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