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.
