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Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles everyday from now on. The total number of miles walked y can be represented by y=2.5x+5 where x is the number of days walkef

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Answer:

The  answer is below

Step-by-step explanation:

Yosune walked her dog 5 miles today and plans to walk her dog 2.5 miles every day from now on. The total number of miles walked y can be represented by y = 2.5x + 5, where x is the number days walked after today. a. State the x- and y-intercepts and then graph the equation. b. Interpret the x- and y-intercepts.

Solution:

The equation for a linear function is given by:

y = mx + b; where m is the slope of the function and b is the y intercept.

Given the equation y = 2.5x + 5, the y and x intercept can be found by substituting x = 0 and y = 0. Hence:

a) x intercept is the value of x when y = 0. Therefore:

0 = 2.5x + 5

2.5x = -5

x = -2

y intercept is the value of y when x = 0. Therefore:

y = 2.5(0) + 5

y = 5

b) The x-intercept is at the point (–2, 0). But there cannot be a negative number of days walked, hence the x intercept does not apply in this situation.

The y intercept is at the point (0, 5). This means that Yosune has initially walked her dog 5 miles.

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