Making Predictions: Homework

Find the change per step, extend the trend, and check whether the prediction can really happen.

Doing it on screen?Tap or click a box and type your answer. When you’re done, press Check My Answers at the bottom of the sheet.

Part A — Change per Step / 4

Last value minus first value, divided by the number of steps between them. A falling pattern has a negative change.

Find the change per step, then keep adding it. Write about before your answer if you like.

1.
A tree is 30 cm tall in week 1 and grows 4 cm every week. Predict its height in week 6.Answer
2.
Savings were $12, $20, $28 and $36 in months 1 to 4. Predict month 8.Answer
3.
A tank holds 90 gallons at 1 P.M., 75 at 2 P.M. and 60 at 3 P.M. Predict the gallons at 5 P.M.Answer
4.
Mia's weekly quiz scores were 70, 74, 78 and 82. Predict week 7.Answer
5.
In a poll of 50 students, 30 chose dogs. Predict how many of 200 students would choose dogs.Answer

Use the same tank and the same quiz scores as above.

1.
The tank loses 15 gallons an hour from 90 gallons at 1 P.M. How many hours after 1 P.M. is it empty?Answer
2.
Mia's scores go up 4 each week, starting at 70 in week 1. What does the trend predict for week 20?Answer
3.
The quiz is out of 100 points. Can Mia really score what the trend predicts for week 20? Type yes or no.Answer
4.
Name one thing that could make Mia's real week 7 score different from the prediction.Answer

United States presidential elections come every four years, and these years are real.

Write your answer in a sentence or two.

1.
A child is 100 cm tall at age 4 and 110 cm at age 6. A student predicts a height of 250 cm at age 30. Is the prediction reasonable? Why or why not?Answer
2.
Name a time when a store, a school or a team would want to make a prediction from a graph.Answer

Done? Check your answers.

Wrong ones turn red, so you can fix them and check again. Your answers save as you type, and your score goes on the lesson page.

Total / 19

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Notes

Part A — the change per step.

Part B — the predictions.

Part C — the answers.

6 hours
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No. The trend can't go past 100.
Answers vary. She could be sick, get a harder quiz, study more, or just have a bad day. A prediction only uses the pattern in the numbers.

Part D — the answers.

Part E — one correct answer, and what a good explanation says.

Answers vary. No. Growth slows down and stops, so a trend from two years can't be stretched to age 30. A good answer says the trend only holds close to the data.
Answers vary. A good one, such as how many pizzas to make or how many seats to set out, names what the graph shows and what the prediction is used for.