Factor using the AC method...
The answer is:
(x+6) (x+8)
A yard is not a metric unit of length.
Given that the maximum speed the cheetah can run is 70 mph, then:
distance traveled will be:
distance=speed×time
speed= 70 mph
=(70)/(60)=7/6 mile per minute
time=t min
distance=7/6t miles
b] Given that t=10, then the distance covered in 10 minutes will be:
distance=7/6(10)=11 2/3 miles
c] The cheetah's average round trip will be given by:
average rate=(70+40)/2=110/2=55 mph
The average rate can be said to be 55 mph.
Generic exponential growth model: y = Ao[1+r]^t
In this case: r = 3.5% = 0.035
y = 2Ao .....[the double of the initial value]
Then: 2Ao =Ao (1 + 0.035)^t
(1.035)^t =2
Take logarithm to both sides
t ln(1.035) = ln(2)
t = ln(2) / ln(1.035) = 0.693 / 0.0344 = 20.15
Answer: 20.15 hours.
