Based on the graph, what is the initial value of the linear relationship?

Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29. Writ

zepelin [54]

Part A)

So we need the graph to pass through these points:

time = 2 and price=$14 -> (2,14)

time= 5 and price = $29 -> (5,29)

Standard form:

Ax+By = C

Let’s replace the points:

A*2+B*14=C

A*5+B*29=C

Let’s eliminate variables:

(A*2+B*14)-(A*5+B*29)=C-C

A*2+B*14-A*5-B*29=0

-3A-15B=0

-3A=15B

A=15B/-3

A=-5B

There are several numbers that verify this proportion. For example, if B=1, A=-5 (you can try others, there is not only 1 correct answer).

So we can make this equation:

-5x+y=C

Then we can calculate C using one point:

-5*2+14=C

-10+14=C

4=C

So one of the possible equations is: -5x+y=4

(Remember there are multiple correct answers for this item)

You can verify it with the other point:

-5*5+29=-25+29=4 ->OK

Part B)

Whatever you have found in Part A, you will find the same in Part B when you convert it to function notation. All you have to do is clear y:

-5x+y=4

y=4+5x

So the equation is: f(x)=4+5x

Part C)

First of all, you have to find f(0)

f(x)=4+5x

f(0) =4+5*0=4+0=0

f(0) is ALWAYS the constant not multiplied by x.

So you know it has to cross the y axes in y=4

Now let’s put 0 as y-value:

4+5x=0

5x=0-4=-4

x=-4/5

So now you know it has to cross the x axes in x=-4/5.

So you can put those intersections in the graph and you draw the line through those points. Labels: horizontal axes is x, and in this case represents time; vertical axes is y, and in this case represents price.

Remember there are other methods, too :)

5 0

3 years ago

You are planning on making 250 liters of chili for a big fundraiser you are throwing. You want the

Anvisha [2.4K]

Answer:

30%

Step-by-step explanation:

because you use %

so that is why i think but i am not sure

7 0

3 years ago

Twothirds times fifteen

Dmitry [639]

The answer is 10 :) ........

4 0

3 years ago

Read 2 more answers

There are five times as many cars as trucks on the road. Which fraction represents the number of vehicles that are trucks?

jonny [76]

Well, the ratio of cars to trucks is 5:1, so for every 1 truck, there are 5 cars, the sum would be 6. So that's the denominator, and then the numerator would be 1, since there's only 1 truck out of every 6 vehicles.

Answer: D. 1/6

5 0

3 years ago

The table below shows the velocity y, in miles per minute, of a toy car at different times x, in minutes: Time (x) (minutes) 10

MrMuchimi

A. If you plot the points in a graph, it would look like that shown in the picture attached. If we use linear regression, the correlation is very poor. The coefficient of correlation (r2) is only 0.0017. There is no linear relationship between time and velocity.

B. The slope of the graph is equal to y2-y1/x2-x1, In this case, it would specifically be v2-v1/t2-t1

Slope = 0.8-0.2/20-10 = 0.06 miles/s^2

The slope represents the acceleration at time 10 to 20 minutes.

C. The table in the graph shows causation rather than correlation. The points in the data occur in a sequential manner.

8 0

3 years ago