Yosief and his family went to San Diego for summer vacation. Yosief plotted the speed versus time on his note book see below. Estimate the distance to San Diego using Yosief's plot?

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1 Answer
Apr 20, 2016

Approximately #340# miles

Explanation:

From A to B
#color(white)("XXX")#time #= 1/2# hr.
#color(white)("XXX")#ave. speed #=(0+38)/2# mph #=19# mph
#color(white)("XXX")#distance #=1/2# hr #xx 19# mph #= 9 1/2# miles.

From B to C
#color(white)("XXX")#time #= 1/2# hr.
#color(white)("XXX")#ave. speed #=(38+40)/2# mph #=39# mph
#color(white)("XXX")#distance #=1/2# hr #xx 39# mph #= 19 1/2# miles.

From C to D
#color(white)("XXX")#time #= 1/4# hr.
#color(white)("XXX")#ave. speed #=(40+70)/2# mph #=55# mph
#color(white)("XXX")#distance #=1/4# hr #xx 55# mph #= 13 3/4# miles.

From D to E
#color(white)("XXX")#time #= 3 3/4# hr. #= 15/4# hr.
#color(white)("XXX")#ave. speed #=(70+70)/2# mph #=70# mph
#color(white)("XXX")#distance #=15/4# hr #xx 70# mph #= 262 1/2# miles.

From E to F
#color(white)("XXX")#time #= 1# hr.
#color(white)("XXX")#ave. speed #=(70+0)/2# mph #=35# mph
#color(white)("XXX")#distance #=1# hr #xx 35# mph #= 35# miles.

Total Distance to San Diego
#color(white)("XXX")9 1/2 + 19 1/2+ 13 3/4 + 262 1/2+35# miles
#color(white)("XXX")=340 1/4# miles