Illustrative Math - Algebra 1 - Unit 4 - Lesson 8

Last updated 11 months ago

10 questions

Illustrative Math - Algebra 1 - Unit 4 - Lesson 8

Last updated 11 months ago

10 questions

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? Explain how you know.

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 item		Corresponding Item
A full 10-gallon water tank is drained for 30 seconds, until it is half full. Afterwards, it gets refilled.		Graph A.
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 B.
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 C.
A 2,000-gallon water tank starts out empty. It is being filled for 5 hours, slowly at first, and faster later.		Graph D.

Clare describes her morning at school yesterday: “I entered the school on the first floor, then walked up to the third floor and stayed for my class for an hour. Afterwards, I had an hour-long class in the basement, and after that I went back to the ground level and sat outside to eat my lunch."

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.

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?

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

Noah draws this box plot for data that has measure of variability 0.
Explain why the box plot is complete even though there do not appear to be any boxes.

This lesson is from Illustrative Mathematics. Algebra 1, Unit 4, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/4/8/index.html ; accessed 26/July/2021.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.

Illustrative Math - Algebra 1 - Unit 4 - Lesson 8

Illustrative Math - Algebra 1 - Unit 4 - Lesson 8

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? Explain how you know.

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.

Clare describes her morning at school yesterday: “I entered the school on the first floor, then walked up to the third floor and stayed for my class for an hour. Afterwards, I had an hour-long class in the basement, and after that I went back to the ground level and sat outside to eat my lunch."

Two functions are defined by these equations:f(x)=5.1+0.8xg(x)=3.4+1.2xWhich function has a greater value when x is 3.9? How much greater?

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

Noah draws this box plot for data that has measure of variability 0.Explain why the box plot is complete even though there do not appear to be any boxes.

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? Explain how you know.

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.

Clare describes her morning at school yesterday: “I entered the school on the first floor, then walked up to the third floor and stayed for my class for an hour. Afterwards, I had an hour-long class in the basement, and after that I went back to the ground level and sat outside to eat my lunch."

Two functions are defined by these equations:f(x)=5.1+0.8xg(x)=3.4+1.2xWhich function has a greater value when x is 3.9? How much greater?

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

Noah draws this box plot for data that has measure of variability 0.Explain why the box plot is complete even though there do not appear to be any boxes.

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? Explain how you know.

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?

Noah draws this box plot for data that has measure of variability 0.
Explain why the box plot is complete even though there do not appear to be any boxes.

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? Explain how you know.

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?

Noah draws this box plot for data that has measure of variability 0.
Explain why the box plot is complete even though there do not appear to be any boxes.