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John and Tyrone each go for a morning jog before work. John's jogging pace
is represented by the equation y = 5x where yis the number of miles he jogs
and x is the number of hours he jogs. Tyrone's pace is given by the graph.

John and Tyrone each go for a morning jog before work Johns jogging pace is represented by the equation y 5x where yis the number of miles he jogs and x is the class=

Respuesta :

MrRoyal

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