The graph shows a proportional relationship between the number of hours, x, Gail tutors and the total amount she earns, y. One student needed extra help. Gail got charged $250 for 11 hours of tutoring. Did she charge her unit rate? Explain.

Step-by-step explanation:

Step one:

given data

we are told that she got charged $250

time of the tutoring = 11 hours

Step two:

Required

The unit rate: this is defined as the cost per item, in this case, it is the cost per unit of time, Hence

the unit rate

=250/11

=$22.72  per hour

mx+89b(-98)nb

step-by-step explanation:

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