Question

Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the following points: (11, −11.7), (15, −9.4), (25, −3.9), (35, 1.7), (45, 7.2) He uses the following steps to plot the graph: Label origin as (0, 0). On x-axis, label Temperature in Fahrenheit. On y-axis, label Temperature in degrees Celsius. The scale on x-axis starts from 0 and goes up to 700 at intervals of 20. The scale on the y-axis starts from −12 and goes up to 12 at intervals of 2. Which of the following best describes the graph? It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the axis. It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis.

Answer 1

We have:
 Label origin as (0, 0).
 On x-axis, label Temperature in Fahrenheit.
 On y-axis, label Temperature in degrees Celsius.
 Therefore,
 C = f (F). 
 Then,
 The scale on x-axis starts from 0 and goes up to 700 at intervals of 20.
 Therefore, each grid:
 xi = 700/20 = 35 
 The scale on the y-axis starts from -12 and goes up to 12 at intervals of 2 
 Therefore, each grid:
 yi = 12/2 = 6.
 answer:
 It will not spread horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis.

Answer 2

 It won´t spread horizontally across the coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis.