First get rid of the exponent: 6x + 3 = 243. then subtract 3 from both sides: 6x = 240. lastly divide both side by 6: x = 40. be sure to check your work by plugging it back in.
Answer:
or 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
<em>Answer</em><em>:</em>
<h2>
<em>2</em><em>0</em><em> </em><em>years</em><em> </em><em>old</em><em>.</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>sister</em><em> </em><em>be</em><em> </em><em>X</em>
<em>Let</em><em> </em><em>the</em><em> </em><em>age</em><em> </em><em>of</em><em> </em><em>boy</em><em> </em><em>be </em><em>2</em><em>x</em>
<em>Now</em><em>,</em>
<em>Five</em><em> </em><em>years</em><em> </em><em>ago</em><em>,</em>
<em>
</em>
<em>Again</em><em>,</em>
<em>Repla</em><em>cing</em><em> </em><em>value</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>