Hailey has a summer job at the water slide park. she earns $9.50 an hour as a lifeguard, but never works more than 25 hours in a week. she determines that her salary is modeled by the function s = 9.5h. what is the domain of this function in this situation? a) s ≤ 237.50 b) all real numbers c) {0 ≤ h ≤ 25} d) {0 ≥ h ≥ 25}

step-by-step explanation:

the options are kind of confusing. i can tell you what i see going on here when i look at the graph.

the class and exam medians are closely related, and it looks like the low outlier on the exam did pull the median lower. [tex][/tex]

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4