Shown is the graph of the function y=4x

Question

. Use the graph to identify the best estimate of 41.75
.

Option #1: 8

Option #2: 12

Option #3: 16

Option #4: 50

(1 point)
The best estimate for 41.75
is Option #
.

Answer 1

To estimate the value of \( x \) when \( y = 41.75 \) for the function \( y = 4x \), we can set up the equation:

\[ 4x = 41.75 \]

Now, we solve for \( x \):

\[ x = \frac{41.75}{4} = 10.4375 \]

Now, looking at the answer options provided:

• Option #1: 8
• Option #2: 12
• Option #3: 16
• Option #4: 50

The best estimate, given our result of approximately 10.4375, is closest to Option #2: 12.

So:

The best estimate for 41.75 is Option #2.