Is this an example of a horizontal asymptote?

Step-by-step explanation:

Hi there,

The graph indicated is showing a horizontal asymptote. In fact, it is showing both a horizontal and a vertical asymptote.

To tell which type it is, notice where the graph "shoots off" and almost forms an imaginary straight line in one direction. Using this logic, the horizontal asymptote will be exactly horizontal, parallel to x-axis, and vertical asymptote will be exactly vertical, parallel to y-axis.

With this graph, we notice the horizontal asymptote is at y=0, where the x-axis is. The vertical asymptote is bit more difficult to determine graphically, but can definitely say it is past x=-10. We could determine it if we had the function, but that is not necessary for this question.

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thanks,

He has to save at least $420 .

Step-by-step explanation:

Hi, to answer this question we have to write an inequality using the information given:

The amount he has already saved (75) plus the money he still needs to save (x) must be higher or equal to the cost of the Smartphone and accessories.

75 +x ≥ 495

Solving for x:

x ≥ 495-75

x ≥ 420

He has to save at least $420.