The table shows the distance covered by a spaceship in outer space. Can the situation be modeled by a linear equation? Explain. If possible, write
a linear model that represents the distance traveled as a function of time.
Time (seconds)
1 47 10 13
Distance (miles) 5 20 35 50 65

question:

could we have options?

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

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

7

step-by-step explanation: