Convert 2cm on the page represents 7km on the ground to a linear form
To convert the proportion "2cm on the page represents 7km on the ground" into a linear form, we need to determine the relationship between centimeters (cm) on the page and kilometers (km) on the ground.
First, we establish the ratio of cm to km. In this case, we have 2cm representing 7km. So the ratio can be written as:
2cm / 7km
Next, we want to express this ratio in linear form. The linear form is typically written as "y = mx + b", where "x" represents the input variable, "y" represents the output variable, "m" represents the slope, and "b" represents the y-intercept.
In this case, we can assign "y" as the distance on the ground (in km) and "x" as the distance on the page (in cm). The ratio becomes:
y = (7km / 2cm) * x
Simplifying further, we get:
y = 3.5km/cm * x
Therefore, the linear form of the proportion "2cm on the page represents 7km on the ground" is:
y = 3.5km/cm * x