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kenny6666 [7]
3 years ago
14

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High Sch

ool B both planned trips
there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0
High school A had 15 people in each van and bus.
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The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.

Step-by-step explanation:

Step 1:

To determine if the function represents growth or decay, we substitute values to x.

If the values increase with an increase of x, it represents growth.

If the values decrease with an increase of x, it represents decay.

Step 2:

If x= 10, y = 1,300 (\frac{1}{2})^{\frac{10}{69} }  =  1,300 (0.9044) = 1,175.72.

If x=11,y = 1,300 (\frac{1}{2})^{\frac{11}{69} }  =  1,300 (0.8953) = 1,163.89.

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Step 3:

The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.

The percentage rate of change = \frac{y(x=11) - y(x=10)}{y(x=10)}.

Substituting the values, we get

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As the values of y decrease with an increase in x, it is the percent decrease per unit.

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