gfreeborn2497
contestada

Select the correct answer.
This week, Theo walked x hours at a constant rate of 4 miles per hour and jogged y hours at a constant rate of 6 miles per hour. The total distance he walked and jogged this week was 36 miles. The relationship is modeled by this equation:

4x + 6y = 36.

Which statement is true about the graph of this relationship?

A.
The graph is a line that goes through the points (9,0) and (0,6).
B.
The graph is a line that goes through the points (6,0) and (0,9).
C.
The graph is a line that goes through the points (-9,0) and (0,6).
D.
The graph is a line that goes through the points (-6,0) and (0,9).

Respuesta :

MrRoyal

Answer:

A. The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

Given

[tex]4x + 6y = 36[/tex]

Required

Select the true options

[tex](a)\ (9,0)\ and\ (0,6)[/tex]

This implies that"

[tex](x_1,y_1)= (9,0)[/tex]

[tex](x_2,y_2)= (0,6)[/tex]

So, we have: [tex](x_1,y_1)= (9,0)[/tex]

[tex]4x + 6y = 36[/tex]

[tex]4 * 9 + 6 * 0 = 36 + 0 = 36[/tex]

So, we have: [tex](x_2,y_2)= (0,6)[/tex]

[tex]4 * 0 + 6 * 6 = 0 + 36 = 36[/tex]

Hence (a) is true.

Answer:

the answer would be a-The graph is a line that goes through the points (9,0) and (0,6).

Step-by-step explanation:

i took the test

Otras preguntas