Linear Models Quiz

In the equation T(d) = m d + b, what does T(d) represent?

The total cost of the trip

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The total travel time for a given distance

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The number of buses on the route

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The number of people riding

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What does the slope (m) tell us in a transportation model?

The total distance traveled

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The starting delay before departure

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How many minutes it takes to travel each mile

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How many stops the bus makes

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What does the intercept (b) represent?

How far the route goes

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How long you wait before the trip begins

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The total number of neighborhoods

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The time it takes to travel one mile

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If Neighborhood A has the model T(d) = 6d + 4, what does that mean?

The bus takes 6 minutes per mile and waits 4 minutes before starting

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The bus takes 4 minutes per mile and waits 6 minutes before starting

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The bus route is 6 miles long

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The total trip time is always 4 minutes

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Which route is faster for long trips?

T = 8d + 8

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T = 12d + 2

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T = 6d + 10

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T = 10d + 0

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What does a bigger slope (m) mean?

The bus is faster

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The bus is slower

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The wait time is shorter

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There is no change in time

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If a line graph is steeper, what can we say about that neighborhood’s commute?

It has fewer bus stops

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People get to work earlier

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Travel time increases quickly as distance increases

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The buses are less crowded

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Why is it important to compare slopes and intercepts across neighborhoods?

To find which route looks nicest on a map

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To understand which areas have slower, longer commutes

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To know which bus has the best seats

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To predict how many buses the city owns

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Using your own words, explain how slope and intercept can show fairness or unfairness in public transportation.

This response will be awarded full points automatically, but it will be reviewed and possibly adjusted after submission.

If you could suggest one policy solution to make travel times more fair across neighborhoods, what would it be and why?

This response will be awarded full points automatically, but it will be reviewed and possibly adjusted after submission.

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