At the end of a snow storm, Michael saw there was a lot of snow on his front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of
snow on Michael's lawn, in inches, can be modeled by the equation S = - 2t +20,
where t is the time, in hours, after the snow stopped falling. What is the x-intercept
of the equation and what is its interpretation in the context of the problem?

The x-intercept of the function is 10 which represents the number of hours until all the snow has melted

Step-by-step explanation:

There were 0 inches of snow on the lawn after 10 hours, the x intercept of 10 represents the number of hours after the storm stopped when all the snow had melted.

-2t+20=S

-2t+20=0

-2t =-20

t=10

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

h * s * a

h = history teacher

s = science teacher

a =   art teacher.

i see no data table, but just multiply the number of history teachers, science teachers, and art teachers.