The definition of a function is that for each input, there is only one output.
Thus, the answer to your question is A, as it is the only answer option that each input has only one output.
In answer choice B, the input -1 has outputs of both -2 and -5.
In answer choice C, the input 4 has outputs of both 3 and 0.
Finally, in answer choice D, the input -4 has outputs of both -4 and 4.
Therefore, answer A is the only function because it is the only option that follows the definition.
Hope this helps! :)
<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>;<span>y=<span><span>−<span>2x</span></span>+1</span></span></span>Step: Solve<span>y=<span><span>−<span>4x</span></span>+5</span></span>for y:Step: Substitute<span><span>−<span>4x</span></span>+5</span>foryin<span><span>y=<span><span>−<span>2x</span></span>+1</span></span>:</span><span>y=<span><span>−<span>2x</span></span>+1</span></span><span><span><span>−<span>4x</span></span>+5</span>=<span><span>−<span>2x</span></span>+1</span></span><span><span><span><span>−<span>4x</span></span>+5</span>+<span>2x</span></span>=<span><span><span>−<span>2x</span></span>+1</span>+<span>2x</span></span></span>(Add 2x to both sides)<span><span><span>−<span>2x</span></span>+5</span>=1</span><span><span><span><span>−<span>2x</span></span>+5</span>+<span>−5</span></span>=<span>1+<span>−5</span></span></span>(Add -5 to both sides)<span><span>−<span>2x</span></span>=<span>−4</span></span><span><span><span>−<span>2x</span></span><span>−2</span></span>=<span><span>−4</span><span>−2</span></span></span>(Divide both sides by -2)<span>x=2</span>Step: Substitute2forxin<span><span>y=<span><span>−<span>4x</span></span>+5</span></span>:</span><span>y=<span><span>−<span>4x</span></span>+5</span></span><span>y=<span><span><span>(<span>−4</span>)</span><span>(2)</span></span>+5</span></span><span>y=<span>−3</span></span><span>(Simplify both sides of the equation)
</span><span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−3</span></span>
Knowing the diameter of the can is 8cm, we can figure out the radius by dividing it by 2. The radius is 4cm. To find the volume of the can, multiply pi by radius^2 by height. (3.14)*(4)*(4)*(12)=(3.14)*(16)*(12)= (3.14)*(192)= 603 cm^3.
The developer could change her samples to make a more confident answer that is representative by including more players therefore getting a better variety of their times.