It will take 6 years for the trees to have same height.
Step-by-step explanation:
Type A tree;
Initial height = 9 feet
We will convert feet into inches because growth is in inches.
1 feet = 12 inches
9 feet = 12*9 = 108 inches
Growth rate = 6 inches per year
Let,
x be the number of years.
A(x) = 108 + 6x
Type B;
Initial height = 4 feet = 4*12 = 48 inches
Growth rate = 16 inches per year
B(x) = 48 + 16x
The height will be same, when functions are equal
A(x) = B(x)
Dividing both sides by 6
It will take 6 years for the trees to have same height.
Keywords: function, division
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Since we are given with the identity of the chemical as Carbon-14, we obtain the half-life of the chemical from a reliable source and get a value of 5730 years. The equation that we are going to use for this item is,
A(t)/A(0) = (0.50)^(n/5730)
where A(t) is the current amount, A(0) is the initial amount and n is the number of years. We know from the given that the ratio of A(t) and A(0) is equal to 0.63. Substituting this to the given,
0.63 = 0.50^(n/5730)
n = 3819.48
Thus, the sample is approximately 3819.5 years old.
John walks 0.6 miles in 1 hour.
Step-by-step explanation:
Distance walked by John = 3 miles
Time period = 5 hours
5 hours = 3 miles
Unit rate is the ratio of two measurements, in which one measurement is one, therefore,
1 hour = 
John walks 0.6 miles in 1 hour.
Keywords: ratio, distance
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6x is an example of a variable
