9514 1404 393
Answer:
- minimum $11,600
- maximum: $14,000
Step-by-step explanation:
The graph shows price decreases with age, so the minimum price will be associated with cars that are 3 years old. We read from the graph that the price of a 3-year-old car is about $11,600. (This is slightly more than halfway between the $11,000 and $12,000 grid lines.)
The maximum will be associated with a 2-year-old car. We can read the graph to find the price of a 2-year-old car is $14,000. That value is on the grid line, so no guessing is necessary.
Then we have ...
minimum: $11,600
maximum: $14,000
_____
<em>Additional comments</em>
We'd like to check our guess of the minimum using the given price equation. Filling in x=3 in the equation, we get ...
2400·3 +6800 = 7200 +6800 = 14,000 . . . . matches the maximum, not the minimum
We observe that the equation has a positive coefficient for x, so will be the equation of a rising line, not the falling one shown on the graph.
For "fun", we can check to see what the equation gives for x=2:
2400·2 +6800 = 4800 +6800 = 11,600 . . . . matches the minimum, not the maximum
This gives us some confidence that our choice of numbers is correct, but makes it clear that the equation is incorrectly written.
The problem needs to be reported, so it can be fixed.
