Question

Let g be the num ber of ga lons of gas ine that re nain in of dand g ara shoun in the tolowing tahl car's ge80line tank 8ner the ar has been driven d miles ncelhe tank wk8 riled one-is ofva a. Pot the dla points Then d 8 8 linear model e Choose the one0ะเ9'aph bekw A. ов. 30 90 150 о с. D. b. Esimate haw much gasoline is nthe tank ฮfter the driver has gone 105 mies since last fling up. Ahar the drtwer has goa 105 milas sica last filing up, wil ba gallona af gasolina in the tank c. Ectimate the number of mies driven since the tank was las illed if 2 galons of gasline remain in the tank The dive drove | | niles girc the tank was lasi İled ir 2 geluns or gssoline are in the tank. [Type an ord and par 》 A. lha d-intareapt at tha madal is l he d-l terrapastinates tha niimber of gallons of gasoina inthalak at tha start at tha trip Iha d-ntacapt at tha model isThe d-intarapt eatimae tha numbar miles attar which tha gasolina tank w ba ampty e. Find the g-intercept of 1hΘ mode what does it rnean in this situelion? Select the ocrrect choice below and, if neceessry, in the answer box to complete ycur chcice Type an erdered pei O A. The g intercept of the modeliThe g intercopt eatimanes thegallons of gasoline in the tank at the start of the trip. cick to sclect your answerts)

Answer 1

Looking at the data, all the points lie on a perfect straight line

So finding straight line . where x = miles and y = gallons

Slope = y2 - y1 / x2 - x1 = 11 - 9 / 30 - 60 = -2/30 = -1/15

Straight line: y - 11 = -1/15(x - 30)

15y - 165 = -x + 30

x + 15y = 195

y = (195 - x) / 15

Looking at all the points correct plot is a

Ans.a A

b) x = 105 miles ( put this in above equation)

So y = (195 - 105) / 15 . = 6 gallons

c) y = 2 gallons so finding x

x = 195 - 15*2 = 165 miles

d) d intercept so y = 0

x = 195 miles

ans B. d intercept is 195 miles ( d intercept estimates the number of miles after which tank will be empty)

e) g intercept so x = 0

y = 13 gallon

Ans. A G intercept is 13 gallon. G intercept estimates the number of gallon at start of the trip.

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