contestada

The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.

Respuesta :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

[tex]y = 2x + 5[/tex]

Job B

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]

The first step is to calculate the rate of Job B using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,10)[/tex]

So, we have:

[tex]m = \frac{10 - 6}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

So, the hourly rate of job B is $4/hr

For Job A:

[tex]y = 2x + 5[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where m is the rate

By comparison:

[tex]m = 2[/tex]

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

  • The hourly rate  of Job A is greater than the hourly rate of Job B
  • The hourly  rate of Job A is twice the hourly rate of Job B.

Otras preguntas