You are given two points on a line, and told that the function is "direct variation." You can save a lot of time by recognizing that the y-intercept here is zero (0). Thus, the line passes through the origin.
A line through (2,14) and (4,38) is NOT direct variation, because the line connecting those two points does NOT pass through the origin, and thus has a vertical intercept.
I found a graph with the same problem, so I guess this is the graph to be based on. To find the rate, just determine the slope between any two points along the line. Suppose these points are: (30,10) and (50,20).
Slope = (20 - 10)/(50 - 30) = 1/2
<em>The correct answer should be: the rate of change is 1 cm per 2 weeks, or 1/2.</em>
Answer:
77.76 times
Step-by-step explanation:
The average distance of Neptune from the sun
= 4.503 × 10
⁹ k
m
.
and Mercury = 5.791 × 10
⁷ k
m
.
Hence neptune is ( 4.503 × 10
⁹) ÷ (5.791
×
10
⁷ ) times farther from the sun than mercury
i.e.(
) × 10⁹⁻⁷ times
=
0.7776 × 10
² times
=
77.76 times.
Answer:

And we want to know what repreent the value 500 for this equation. If we see the general expression for an exponential function we have:

Where a is the constant or the initial amount, b te base and x the independnet variable (time)
For this special case we know that:

And 500 represent the constant or initial value for the function
Step-by-step explanation:
We have the following function given:

And we want to know what repreent the value 500 for this equation. If we see the general expression for an exponential function we have:

Where a is the constant or the initial amount, b te base and x the independnet variable (time)
For this special case we know that:

And 500 represent the constant or initial value for the function