Mathematics: Atruck driver drove 80 miles per hour for the first 30 minutes of a 2-hour trip. his average (mean) speed for the entire trip was 75 miles per hour. which equation can be used to determine his speed, s, for the remaining part of the trip? select one: a. b. c. d.

Atruck driver drove 80 miles per hour for the

Ответ:

yasarhan2

05.01.2022

Mathematics

$\large\boxed{75=\dfrac{40+1.5s}{2}\to s\approx73\ mph}$

Step-by-step explanation:

$s=\dfrac{d}{t}\\\\s-speed\\d-distance\\t-time\\\\average\ speed=\dfrac{total\ distance}{total\ time}$

$\text{We have:}\\\\s_1=80\ mph\\t_1=0.5\ h\\s_2=?\\t_2=2h-0.5h=1.5\ h\\\\d_1=(80)(0.5)=40\ mi\\d_2=s_2(1.5)=1.5s_2\ mi\\\\total\ distance=d_1+d_2=(40+1.5s_2)\ mi\\total\ time=2\ h\\average\ speed=75\ mph\\\\\text{Substitute:}\\\\75=\dfrac{40+1.5s_2}{2}$

$\text{Solution:}\\\\75=\dfrac{40+1.5s_2}{2}\qquad\text{multiply both sides by 2}\\\\150=40+1.5s_2\qquad\text{subtract 40 from both sides}\\\\110=1.5s_2\qquad\text{divide both sides by 1.5}\\\\\dfrac{110}{1.5}=s_2\to s_2=\dfrac{1100}{15}=\dfrac{220}{3}=73.333...\approx73\ mph$

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Ответ:

Flameking1223

01.04.2021

Mathematics

Y= 4/5 x + 24
To find the rate of change you find the difference in each of the numbers on the graph. For example, 36-32 is 4. So 28-4 is 24 and that would be the next number down. It would also match x to be 0 because since the rate of change for x was 5, if you subtract 5 from 5 you get 0. So from this we know that the coordinates would be 0,5.
From this info, the slope would be 4/5 and the y intercept or initial value would be 24

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Atruck driver drove 80 miles per hour for the first 30 minutes of a 2-hour trip. his average (mean) speed for the entire trip was 75 miles per hour. which equation can be used to determine his speed, s, for the remaining part of the trip? select one: a. b. c. d.

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