Answer: Question E: The answer is that A(9) is greater.
Explanation:
For questions A and C, you can see that the table is exponentially growing. So the equation will use multiplication. You can also see the value of the equation is growing by x2.
So you could say the table starts at a base of 1/2, then grows exponentially at a rate of 2. (Basically saying the value grows x2 per term). The equation will result in y= 1/2(2)^x
For questions B and D, you can see that the graph is growing linearly. So the equation will use multiplication.
By drawing a line between the lines you can easily see the growth of the triangle. You can then tell the 0th term to 1st term goes right 1 and up 10.
Next, you look at the 1st term to the 2nd term. You can tell that it goes right 1 and up 10. So, the rate is 10 per term. (10x) and it starts at 2 (+2). The equation will result in y=10x+2
Question E, solve each equation by substituting the x by 9.
A(9)
y= 1/2(2)^x
y= 1/2(2)^9
y= 1/2(512)
y=256
B(9)
y=10x+2
y= 10(9) +2
y= 90+2
y=92
The answer is that A(9) is greater.