Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
- <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
- <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>
Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
- Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr
<u>Using the general form</u> :
At, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
<u>The expression in slope intercept form becomes</u> ;
<u>If Raul lives 5 miles closer to the beach</u> ;
<u>Time it will take Luis to get to the beach</u> :
- Time taken = (15 ÷ 7.5) = 2.5 hours
Distance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
- Speed required = (10 ÷ 2.5) = 4 mi/hr
Therefore, Raul has to ride at 4 miles per hour for the plan to work.
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Answer:
Step-by-step explanation:
180 min
Explanation:
3
×
10 min
=
30 min
In 6 hours, Mr. White takes a total of 30 min in breaks.
36 h
=
6 h
×
6
In 36 hours
, there are 6 sets of 6 h
.
Hence we can multiply the number of minutes in breaks taken in
6 h
ours by 6 to obtain the number of minutes in breaks taken in 36 h
ours.
30 min
×
6
=
180 min
So what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance
Answer: B) shifts the line 7 units right.
Step-by-step explanation: When the a number is either added or subtracted on the <em>inside </em>(will be surrounded by parentheses if it is on the inside) the parent function is moved right and left. Since it is inside parentheses, though, everything that happens will be the opposite of what it shows. Even though it says -7, and you would assume it shifts left, it doesn't. It actually goes to the right.
