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n200080 [17]
3 years ago
15

Ken drove 174 miles in 3 hours. The equation y = 57x represents the distance in miles, y, Brenda drove in x hours. Determine who

had the faster driving speed and by how much.
Mathematics
1 answer:
ella [17]3 years ago
8 0

To find Ken's speed divide total distance by total time:

174 miles / 3 hours = 58 miles per hour.


In the equation for Brenda, the 57 is the miles per hour because you would multiply that by x ( hours) to get total miles (y).


Ken had the faster driving speed.

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Mr. Williams is driving on a highway at an average speed of 50 miles per hour. His destination is 100 miles away. The
svetlana [45]

Answer:

t = -d/50 + 2

0.5 hour

Step-by-step explanation:

Given the equation:

d = 50 - 100t

The inverse function:

A.) solving for t

d = 100 - 50t

d - 100 = - 50t

Divide both sides by - 50

d/-50 - (100/-50) = - 50t/-50

-d/50 - (-2) = t

t = -d/50 + 2

B) using the inverse function:

t = -d/50 + 2

Miles driven (d) = 75, find time (t)

t = - 75/50 + 2

t = - 1.5 + 2

t = 0.5

t is in hours, therefore time left to travel is 0.5 hours or 30 minutes

4 0
2 years ago
A car is bought at the price of $45,000. The price decreases at the rate of .25 every year (t). Which equation matches this expo
Solnce55 [7]
B. f(t) = 45,000(.75)t
7 0
2 years ago
Kristy asks lonnie of a number add 3 to it multiply the sum by 2 and then subtract 6.Let n stand for Lonnies number.What express
Lera25 [3.4K]
<h2>Answer :</h2>

Let the number be x. Then according to the question,

Step 1 :- Adding 3

=> x + 3

Step 2 :- Multiply the sum by 2

=> 2×(x + 3)

Step 3 :- Subtract 6

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Answer:

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2 years ago
Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2
tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

m = \frac {1} {2}

Thus, the equation is of the form:

y = \frac {1} {2} x + b

We substitute the given point and find "b":

-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}

Finally, the equation is of the form:

y = \frac {1} {2} x- \frac {9} {2}

Answer:

y = \frac {1} {2} x- \frac {9} {2}

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