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mestny [16]
4 years ago
8

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x

is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?
Mathematics
1 answer:
Dafna11 [192]4 years ago
7 0

Answer:

$2.75

Step-by-step explanation:

Since x represents the number of years since 1980 to 2000 that means the ticket prices increase by 0.10 (or 10 cents) each year. This means the base price in 1980 was $2.75. To prove it, we would plug in the correct information into the expression. The number of years since 1980 would be 0 so we would plug in 0 for x. 2.75 + 0.10(0) = $2.75.

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Answer:

Correct options are B, C and E.

Step-by-step explanation:

From the graph, we see that,

A. The graph is a decreasing as the number of years are increasing.

So, the function is not representing an exponential growth.

B. From the graph, we see that,

At 0 years, the function value is at 500,000.

Thus, there was $500,000 initially when the owner started making withdrawals

C. From the graph, we see that,

At 10 years, the function value is at 300,000.

Thus, after 10 years, there is exactly $300,000 left in the account.

D. We have that, <em>'The amount that the owner withdraws is given by the slope of the points'.</em>

So, the slope at different points is given by,

\frac{300,000-500,000}{10-0}=\frac{-200,000}{10}=-200,00

\frac{100,000-200,000}{30-10}=\frac{-100,000}{10}=-100,00

So, the amount withdrew each year is not same.

E. As, the y-axis represents the amount of money remaining when the owner started withdrawing.

<em>The y-intercept is the point when the graph crosses y-axis i.e. when x = 0.</em>

So, the y-intercept represents the amount of money withdrew at 0 years.

Thus, y-intercept represents the amount of  money in the account when the owner started making withdrawals.

Hence, the correct options are B, C and E.

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Answer:

28.12

Step-by-step explanation:

No Need To Explain, Just Multiply.

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