Kevin decides to take a job that sells magazine subscriptions. He is paid $100 for the week and gets paid $1.50 for every subscription he sells. Create a model that
describes his weekly pay. Then determine how many subscriptions he would have to
sell in order to pay his senior dues of $175 in a week?
O y = 175 + 1.5x; 117 weeks
O y = 100x + 1.5; 362.50 weeks
Oy = 1.5x + 100; 50 weeks
Oy = 1.5x + 100; 362.50 weeks

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)