Damage cost (x) to a car in a crash is modeled by c(x2 – 60x + 800) , 0 < x < 20 f (x) = 0, otherwise where c is a constan
t. A particular car is insured with a deductible of 2. The car was involved in a crash with resulting damages in excess of the deductible. Calculate the probability that the damages exceeded 10.
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Answer:
A two column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 1.5, 1.5, 3, 4.5.
Step-by-step explanation:
When the x-values are evenly spaced, a linear function will have evenly-space y-values.
In the first table, the y-differences are all +8.
In the second table, the y-differences are 0, 1.5, 1.5, so are not all the same.
In the third table, the y-differences are all -3.
The second table represents a non-linear function.
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In the graph, you can see that the points from the second table (purple) are <em>not on a straight line</em>.
