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Sonja [21]
2 years ago
8

What does the model predict for 1900?

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
3 0

Answer:

64.0% is the correct answer.

Step-by-step explanation:

As per the given scatter plot of voter turnout every year:

X axis represents the year and

Y axis represents the percentage of people who voted.

The model was predicted as per the equation:

y = -0.1271x + 307.53

<u>To find:</u> Prediction for the year 1900.

Putting the value of x=1900, the value of y will be the predicted value of the model i.e. the value of percentage of voter turnout.

\Rightarrow  y = -0.1271\times (1900) + 307.53\\\Rightarrow  y = -241.49 + 307.53\\\Rightarrow  y = -64.04\%\\OR\\y \approx 64.0\%

So, the model predicts y \approx 64.0\% for the year 1900.

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After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Step-by-step explanation:

You can find the amount of students each vehicle can carry by representing the two scenarios in equations.

You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.

High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.

High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.

Now, represent these in equations:

v+6b = 372\\4v + 12b = 780

We can use substitution to solve this system:

v + 6b = 372 can be rewritten as v = 372 - 6b after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

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After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

v + 6(59) = 372\\v + 354 = 372\\v = 18

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

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3 years ago
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Here's the examples:

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