Solved on Nov 17, 2023

Find the grid width and vertical axis scale to best plot the distance data over time. The data shows the distance (km) at various time points (minutes).

STEP 1

Assumptions1. The data is given in a tabular format with two columns Time since start (minutes) and Distance from start (km). . The maximum time is35 minutes and the maximum distance is1.7 km.
3. The grid for the graph is square in shape.
4. For part a), we are trying to find the width of the grid in squares.
5. For part b), we are given that the grid is20 squares tall and we need to find the value of $A$ that gives the best scale for the vertical axis.

STEP 2

For part a), we need to find the maximum value in the Time since start (minutes) column, as this will determine the width of the grid.
The maximum time is35 minutes.

STEP 3

To fit the data on the graph, each square on the horizontal axis should represent a certain amount of time. We can find this by dividing the maximum time by the number of squares we want on the grid.
Let's assume each square represents5 minutes. Then, we calculate the number of squares needed as follows $\text{Number of squares} = \text{Maximum time} / \text{Time per square}$

STEP 4

Plug in the values for the maximum time and time per square to calculate the number of squares.
$\text{Number of squares} =35 /$

STEP 5

Calculate the number of squares.
$\text{Number of squares} =35 /5 =7$ So, the grid needs to be7 squares wide.

STEP 6

For part b), we need to find the maximum value in the Distance from start (km) column, as this will determine the scale of the vertical axis.
The maximum distance is1. km.

STEP 7

To fit the data on the graph, each square on the vertical axis should represent a certain distance. We can find this by dividing the maximum distance by the number of squares on the grid.
$A = \text{Maximum distance} / \text{Number of squares}$

STEP 8

Plug in the values for the maximum distance and the number of squares to calculate $A$ .
$A =1.7 /20$

STEP 9

Calculate $A$ .
$A =.7 /20 =.085$ So, to give the vertical axis the best scale for plotting the data, $A$ should be replaced with.085. This means each square on the vertical axis represents.085 km.

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Find the grid width and vertical axis scale to best plot the distance data over time. The data shows the distance (km) at various time points (minutes).

STEP 1

STEP 2

For part a), we need to find the maximum value in the Time since start (minutes) column, as this will determine the width of the grid.
The maximum time is35 minutes.

STEP 3

STEP 4

Plug in the values for the maximum time and time per square to calculate the number of squares.
$\text{Number of squares} =35 /$

STEP 5

Calculate the number of squares.
$\text{Number of squares} =35 /5 =7$ So, the grid needs to be7 squares wide.

STEP 6

For part b), we need to find the maximum value in the Distance from start (km) column, as this will determine the scale of the vertical axis.
The maximum distance is1. km.

STEP 7

To fit the data on the graph, each square on the vertical axis should represent a certain distance. We can find this by dividing the maximum distance by the number of squares on the grid.
$A = \text{Maximum distance} / \text{Number of squares}$

STEP 8

Plug in the values for the maximum distance and the number of squares to calculate $A$ .
$A =1.7 /20$

STEP 9

Calculate $A$ .
$A =.7 /20 =.085$ So, to give the vertical axis the best scale for plotting the data, $A$ should be replaced with.085. This means each square on the vertical axis represents.085 km.

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Find the grid width and vertical axis scale to best plot the distance data over time. The data shows the distance (km) at various time points (minutes).

STEP 1

STEP 2

For part a), we need to find the maximum value in the Time since start (minutes) column, as this will determine the width of the grid.The maximum time is35 minutes.

STEP 3

STEP 4

Plug in the values for the maximum time and time per square to calculate the number of squares.Number of squares=35/\text{Number of squares} =35 /Number of squares=35/

STEP 5

Calculate the number of squares.Number of squares=35/5=7\text{Number of squares} =35 /5 =7Number of squares=35/5=7So, the grid needs to be7 squares wide.

STEP 6

For part b), we need to find the maximum value in the Distance from start (km) column, as this will determine the scale of the vertical axis.The maximum distance is1. km.

STEP 7

STEP 8

Plug in the values for the maximum distance and the number of squares to calculate AAA.A=1.7/20A =1.7 /20A=1.7/20

STEP 9

Calculate AAA.A=.7/20=.085A =.7 /20 =.085A=.7/20=.085So, to give the vertical axis the best scale for plotting the data, AAA should be replaced with.085. This means each square on the vertical axis represents.085 km.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

For part a), we need to find the maximum value in the Time since start (minutes) column, as this will determine the width of the grid.
The maximum time is35 minutes.

Plug in the values for the maximum time and time per square to calculate the number of squares.
$\text{Number of squares} =35 /$

Calculate the number of squares.
$\text{Number of squares} =35 /5 =7$ So, the grid needs to be7 squares wide.

For part b), we need to find the maximum value in the Distance from start (km) column, as this will determine the scale of the vertical axis.
The maximum distance is1. km.

Plug in the values for the maximum distance and the number of squares to calculate $A$ .
$A =1.7 /20$

Calculate $A$ .
$A =.7 /20 =.085$ So, to give the vertical axis the best scale for plotting the data, $A$ should be replaced with.085. This means each square on the vertical axis represents.085 km.