Answer:
Step-by-step explanation:
we are given a exponential function
where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by
substitute what we have:
simplify substitution:
simplify division:
hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>
Answer:
67%
Step-by-step explanation:
There are a few methods to finding the percent of a number. You can use proportions:
The 'percent' is the percent of the fraction that you are looking for, or 48/72.
Cross-multiply: 72x = (48)(100) or 72x = 4800
Divide both sides by 72: 72x/72 = 4800/72
Solve for 'x': x = 66.6666...
Round 66.666.... to the nearest percent: 67%
Answer:
y = 6
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 3 when x = 9, then
k = =
=
, thus
y = x ← equation of variation
When x = 18, then
y = × 18 =
= 6
