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Kelso Math A1 #6 IM - Algebra 1 - Lesson 4.8 and 4.9 Jan 2021

Last updated almost 5 years ago
24 questions
Note from the author:
Illustrative Math
1

The graphs show the distance, d, traveled by two cars, A and B, over time, t. Distance is measured in miles and time is measured in hours.
Which car traveled slower?

1

The graphs show the distance, d, traveled by two cars, A and B, over time, t. Distance is measured in miles and time is measured in hours.
Explain how you know. In other words, justify your answer to #1.

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Here are descriptions of four situations in which the volume of water in a tank is a function of time. Match each description to a corresponding graph.

Draggable itemCorresponding Item
A 2,000-gallon water tank starts out empty. It is being filled for 5 hours, slowly at first, and faster later.
Graph A.
An empty 100-gallon water tank is filled in 50 minutes. Then, a dog jumps in and splashes around for 10 minutes, letting 7 gallons of water out. The tank is refilled afterwards.
Graph B.
An empty 20-gallon water tank is filled at a constant rate for 3 minutes until it is half full. Then, it is emptied at a constant rate for 3 minutes.
Graph C.
A full 10-gallon water tank is drained for 30 seconds, until it is half full. Afterwards, it gets refilled.
Graph D.
1

Tyler filled up his bathtub, took a bath, and then drained the tub. The function gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub.

These statements describe how the water level in the tub was changing over time. Use the statements to sketch an approximate graph of function. We have talked about Tyler and his bath a lot in the last week. Now graph it out! Yes, there will be a couple of extimate moments, but the facts above should be evident.

1

Two functions are defined by these equations:

f(x)=5.1+0.8x

g(x)=3.4+1.2x

Which function has a greater value when x is 3.9? How much greater? Format like "h(x) is greater by 20.5" for instant grading.

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Function f is defined by the equation f(c)=3c-7. Find the value of c so that f(c)=20 is true.

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Just the number, no sentence.

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The first time it was true was at _________ minutes

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It is true again at approximatiely ___________ minutes

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Horizontal intercept is:

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So what does that tell us in the context of the problem?

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Must be in function notation. Remember the input is IN the (). The output is out.

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Must communicate all of the information in the sentence.

1

A(t) is the average high temperature in Aspen, Colorado, t months after the start of the year. M(t) is the average high temperature in Minneapolis, Minnesota, t months after the start of the year. Temperature is measured in degrees Fahrenheit.

Which function had the higher average rate of change between the beginning of January and middle of March?

1

Here are two graphs representing functions f and g.

Select all statements that are true about functions f and g.

1

Which runner?

1

Which runner?

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Choose the function that represents the data for the square.

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Brighten my day and use a pretty color. Should have a dot for every point on your chart.

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