Mathematics: Which rate is equivalent to the unit rate of 15 miles per gallon? (5 points) thirty miles over three gallons three gallons over thirty miles four gallons over sixty miles sixty miles over four gallons

b) 360c) -108d) 72Step-by-step explanation:b) from 0 to 30, we have a 2 trapezoids areas to solve.trapezoid 1: from 0 to 12A1 = 144, given by part aA2 = (6+18)(18)/2 = 216144 + 216 = 360c) integral from 30 to 42 is just a triangle whose area will be negative since the y is negativeA = xy/2 = 12(-18)/2 = -108d) 360-108 + (-18 - 12)(12)/2 = 360-108-180 = 72...

Which rate is equivalent to the unit rate of 15

Ответ:

mil3ndy

07.02.2023

Mathematics

b) 360

c) -108

d) 72

Step-by-step explanation:

b) from 0 to 30, we have a 2 trapezoids' areas to solve.

trapezoid 1: from 0 to 12

A1 = 144, given by part a

A2 = (6+18)(18)/2 = 216

144 + 216 = 360

$\int\limits^{30}_{0} {f(x)} \, dx = 360$

c) integral from 30 to 42 is just a triangle whose area will be negative since the y is negative

A = xy/2 = 12(-18)/2 = -108

$\int\limits^{42}_{30} {f(x)} \, dx = -108$

d) $\int\limits^{54}_{0} {f(x)} \, dx =$ $\int\limits^{30}_{0} {f(x)} \, dx$ $+ \int\limits^{42}_{30} {f(x)} \, dx + \int\limits^{54}_{42} {f(x)} \, dx$

$\int\limits^{54}_{0} {f(x)} \, dx =$ 360-108 + (-18 - 12)(12)/2 = 360-108-180 = 72

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Which rate is equivalent to the unit rate of 15 miles per gallon? (5 points)

thirty miles over three gallons

three gallons over thirty miles

four gallons over sixty miles

sixty miles over four gallons

Ответ:

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