Question

Sam is sitting in a boat on a lake. She can get sunburned from the sunlight that hits her directly and from

Answer 1

An absolute function is represented as: $y = a|x - h| + k$ where the vertex is (h,k).

The function that describes the path of the sunlight is: $y= 2|x - 4|$

We have:

$(h,k) = (4,0)$ --- the vertex i.e. the point where the sun hits the water

$(x,y) =(5.5,3)$

Recall that:

$y = a|x - h| + k$

Substitute $(h,k) = (4,0)$

$y = a|x - 4| + 0$

$y = a|x - 4|$

Substitute $(x,y) =(5.5,3)$ to solve for a

$3 = a|5.5 - 4|$

$3 = a|1.5|$

Take absolute value of 1.5

$3 = 1.5a$

Solve for a

$a = \frac 3{1.5}$

$a = 2$

Recall that:

$y = a|x - 4|$

Substitute $a = 2$

$y= 2|x - 4|$

Hence, the function that describes the path of the sunlight is: $y= 2|x - 4|$

See attachment for the graph of $y= 2|x - 4|$

Read more absolute functions at:

brainly.com/question/1389494