Question

PLEASE HELP

Derek received a baseball card on his 10th birthday with a value of $25. It is predicted to increase in value by 2% per year. Derek sketches a graph of the value of his card over time.

Which statements are true about Derek's sketch?

Select each correct answer.




The graph curves upward.

The graph curves downward.

The x-intercept is at (25, 0).

The y-intercept is at (0, 25).

The graph is in the first and fourth quadrants.

The graph is in the first quadrant.

Answer 1

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Answer:

• The graph curves upward.
• The y-intercept is at (0, 25).
• The graph is in the first quadrant.

Explanation:

See below for a graph.

You can see it has a y-intercept of (0, 25) and curves upward through the first quadrant.

An exponential function will normally occupy quadrants 1 and 2, but the domain of this function is years after purchase. So, only non-negative values of x are in the domain. That limits the graph to the first quadrant.

The general form of the equation for this function is ...

value = (initial value)×(1 + growth rate)^(years)

value = 25·(1 +.02)^x