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Use the graph to write an equation of the line. y= Question 2 Interpret the slope. The cost of the meal increases $0.20 for each dollar spent on the tip. The tip increases $0.20 for each dollar spent on the meal. The cost of the meal increases $0.50 for each dollar spent on the tip. The tip increases $0.50 for each dollar spent on the meal.

Use the graph to write an equation of the line y Question 2 Interpret the slope The cost of the meal increases 020 for each dollar spent on the tip The tip incr class=

Respuesta :

Answer:

$0.20

Step-by-step explanation:

Note that the graph does not have a vertical intercept other than (0, $0); it shows a proportional relationship.  For each $1 increase in the cost of the meal, the tip increases by $0.20.

The equation of the line is:

[tex]y = 0.2x[/tex]

The slope is of $0.2, which means that the tip increases $0.20 for each dollar spent on the meal.

The equation of a line, in slope-intercept form, is:

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

In which:

  • m is the slope, which is how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • When x = 0, y = 0, thus the y-intercept is [tex]b = 0[/tex].
  • When x = 10, y = 2, thus, considering that the slope is given by change in y divided by change in x:

[tex]m = \frac{2 - 0}{10 - 0} = 0.2[/tex]

The equation of the line is:

[tex]y = 0.2x[/tex]

x is the cost of the meal, y is the tip, thus, the slope is of $0.2 means that the tip increases $0.20 for each dollar spent on the meal.

A similar problem is given at https://brainly.com/question/22566209

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