Answer:
Tyrone's rate is 1 more mile per hour than John's
Step-by-step explanation:
Given
[tex]y = 5x[/tex] --- John number of jog
See attachment of Tyrone's number of jog
Required
Select the true option
From the attached graph, we have:
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (2,12)[/tex]
Calculate the slope (m); i.e. unit rate
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{12 - 0}{2 -0}[/tex]
[tex]m = \frac{12}{2}[/tex]
[tex]m = 6[/tex]
For John, we have:
[tex]y = 5x[/tex]
A linear equation is represented as:
[tex]y = mx+ c[/tex]
Where m represents the unit rate. So, by comparison;
[tex]m = 5[/tex]
[tex]m = 5[/tex] --- John unit rate
[tex]m = 6[/tex] --- Tyrone unit rate
Option B is correct because Tyrone's rate is 1 more mile per hour than John's
i.e. 6 - 5 = 1
