Luis rents a paddleboat to use at West Park for the day. He has to pay a deposit and an hourly fee. Using information from the graph, enter the values that complete the equation for this situation.

Question

(1 point)
y=
x+

Answer 1

To complete the equation $y=mx+b$ for Luis's paddleboat rental situation, we need to identify two key pieces of information from the graph:

1. The hourly fee (m), which represents the slope of the line, and
2. The deposit (b), which is the y-intercept, or the initial amount he pays even before he starts using the paddleboat.

Since I cannot see the graph, please provide the hourly fee and the total deposit amount, and I can help you fill in the equation with those values. For example, if the hourly fee is $5 and the deposit is $10, the equation would be:

$$y=5x+10$$

Where $y$ is the total cost, $x$ is the number of hours the paddleboat is rented, 5 is the hourly fee, and 10 is the deposit. Let me know the values, and I'll assist you further!

Answer 2

(2,30) , (4,40)

Luis rents a paddleboat to use at West Park for the day. He has to pay a deposit and an hourly fee. Using information from the graph, enter the values that complete the equation for this situation.

(1 point)
y=
x+

Answer 3

To derive the equation from the points (2, 30) and (4, 40), we can first determine the slope (m) and then find the y-intercept (b).

1. Calculate the slope (m):

Using the formula for slope:

$$m=\frac{y_2-y_1}{x_2-x_1}$$

Using the points (2, 30) and (4, 40):

$$m=\frac{40-30}{4-2}=\frac{10}{2}=5$$

So, the hourly fee is $5.

2. Find the y-intercept (b):

We can use one of the points to find b. We'll use the point (2, 30):

Using the equation of a line $y=mx+b$:

$$30=5(2)+b$$ $$30=10+b$$ $$b=30-10=20$$

So, the deposit is $20.

3. Complete the equation:

Now we can write the equation:

$$y=5x+20$$

Thus, the completed equation for this situation is:

y = 5x + 20.

Answer 4

Use the table to answer the question.

x f(x)
−1
0
1
2
Finish creating the input-output table for the function f(x)=−(x+1)2+4 . Which of the given x values produces the largest output for the function?

(1 point)
Responses

x=1
x equals 1

x=0
x equals 0

x=−1
x equals negative 1

x=2

Answer 5

To complete the input-output table for the function $f(x)=-(x+1{)}^2+4$, we will calculate the value of $f(x)$ for each given $x$ value: -1, 0, 1, and 2.

1. For $x=-1$: $$f(-1)=-((-1)+1{)}^2+4=-(0{)}^2+4=4$$

2. For $x=0$: $$f(0)=-((0)+1{)}^2+4=-1^2+4=-1+4=3$$

3. For $x=1$: $$f(1)=-((1)+1{)}^2+4=-2^2+4=-4+4=0$$

4. For $x=2$: $$f(2)=-((2)+1{)}^2+4=-3^2+4=-9+4=-5$$

Now, we can summarize the output values:

| x | f(x) | |-----|------| | -1 | 4 | | 0 | 3 | | 1 | 0 | | 2 | -5 |

Largest Output:

The largest output value from this function occurs when $x=-1$, yielding $f(-1)=4$.

Therefore, the response is:

x = -1