# The average price of a ticket to a baseball game can be approximated by p(x)=0.03x^2 +0.55x+9.67, where x is the number of years after 1991 and p(x) us in dollars. a) Find p(4) b) Find p(14) c) Find p(14)-p(4) d) Find (p(14)-p(4))/(14-4) , and interpret this result.

The average price of a ticket to a baseball game can be approximated by $p\left(x\right)=0.03{x}^{2}+0.55x+9.67$, where x is the number of years after 1991 and p(x) us in dollars.
a) Find p(4)
b) Find p(14)
c) Find p(14)-p(4)
d) Find $\frac{p\left(14\right)-p\left(4\right)}{14-4}$, and interpret this result.
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autarhie6i
a)
$p\left(4\right)=.03\left(4{\right)}^{2}+0.55\left(4\right)+9.67=12.35$
b)
$p\left(14\right)=03\left(14{\right)}^{2}+0.55\left(14\right)+9.67=23.25$
c)
$p\left(14\right)-p\left(4\right)=23.25-12.35=10.9$
d)
$\frac{p\left(14\right)-p\left(4\right)}{14-4}=\frac{10.9}{10}=2.725=$ average slope of the line thatconnects these two points