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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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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Answer 1 · 2016-04-20T18:22:56

Approximately $340$ $340$ miles

Explanation:

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

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

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

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

From E to F
$XXX$ $color(white)("XXX")$ time $= 1$ $= 1$ hr.
$XXX$ $color(white)("XXX")$ ave. speed $= \frac{70 + 0}{2}$ $=(70+0)/2$ mph $= 35$ $=35$ mph
$XXX$ $color(white)("XXX")$ distance $= 1$ $=1$ hr $\times 35$ $xx 35$ mph $= 35$ $= 35$ miles.

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

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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?

1 Answer

Explanation:

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