Unit 4a Remediation - Standard #2 Interpret

 $v\left(t\right)\ =\ 26,500\left(0.88\right)^t$ 

The value of a vehicle can be modeled by the equation v(t), where t represents the years since the vehicle was purchased.



What % is the vehicle actually decreasing each year?

• 88%
  

• 12%
  

• 188%
  

• 8%
  

A new car costs $24,500. The value depreciates by 16% each year. Which function could describe the value of the car years after it is sold?

• $g\left(y\right)\ =\ 24,500\left(0.16\right)^y$

• $g\left(y\right)\ =\ 24,500\left(1.16\right)^y$

• $g\left(y\right)\ =\ 24,500\left(0.84\right)^y$

• $g\left(y\right)\ =\ 24,500\div\left(0.84\right)^y$

• $g\left(y\right)\ =\ 24,500-\left(0.16\right)y$

An insect population is rapidly increasing by doubling every 15 days. If there were originally 100 insects, which equation below represents the insects after days?

• $p\left(d\right)\ =\ 100\left(2\right)^{15h}$

• $p\left(d\right)\ =\ 100\left(\frac{1}{2}\right)^h$

• $p\left(d\right)\ =\ 100\left(2\right)^{\frac{h}{15}}$

• $p\left(d\right)\ =\ 100\left(30\right)^h$

An insect population is rapidly increasing by doubling every 15 days.

what factor does the insect population increase by each day? SELECT ALL

A medication has a half-life of 3 hours. If 400 milligrams is originally administered, which equation below represents the amount left after h hours.

• $f\left(h\right)\ =\ 400\left(\frac{1}{2}\right)^{3h}$

• $f\left(h\right)\ =\ 400\left(-\frac{1}{2}\right)^h$

• $f\left(h\right)\ =\ 400\left(\frac{1}{2}\right)^{\frac{h}{3}}$

• $f\left(h\right)\ =\ 400\left(3\frac{1}{2}\right)^h$

The value of a car is decreasing exponentially according to the function V(y).

 $V\left(y\right)\ =\ 25,800\left(0.73\right)^{\frac{y}{3}}$ 

According to the function, the decay factor 0.73 occurred over how many years?

• 3

• 73

• 25

• 8