11x−8y=−48 Bob's work: −8y=−59x y=7.375 Bill's work: −8y=−11x−48 y=118x+6 Bud's work: −8y=−11x−48 y=−11x+6 Who solved for y correctly?
Bob solved for y correctly.
Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.(4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a. What is the rate of change (slope) for this scenario? Response area b. What is the y-intercept for this scenario? Response area c. Write an equation for the scenario in slope-intercept form. Response area d. Write this equation in standard form. Response area
a. The rate of change (slope) for this scenario is given by the formula:
slope = (change in y) / (change in x)
In this case, the change in y is 62 feet - 22 feet = 40 feet and the change in x is 10 days - 0 days = 10 days. Therefore, the slope is:
slope = (40 feet) / (10 days) = 4 feet/day
b. The y-intercept for this scenario is the initial water level before the rain, which is 22 feet.
c. To write an equation for the scenario in slope-intercept form, we can use the formula:
y = mx + b
where m is the slope and b is the y-intercept. Substituting the values, we get:
y = 4x + 22
d. To write this equation in standard form, we can rearrange the equation:
-4x + y = 22
Therefore, the equation in standard form is:
4x - y = -22
Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. Given the two points we know: (3, 34) and (10, 62), what would the point-slope equation look like? (1 point) Responses (y - 3) = 4 (x - 34) (y - 3) = 4 (x - 34) (y - 10) = 4 (x + 62) (y - 10) = 4 (x + 62) (y - 34) = 4 (x - 10) (y - 34) = 4 (x - 10) (y - 34) = 4 (x - 3)
The point-slope equation for the given two points (3, 34) and (10, 62) would be:
(y - 34) = 4(x - 3)
Solve this equation for y: 4y=3x (1 point) Responses y = 12x y = 12x y = 2x -4 y = 2x -4 y = 4/3 x y = 4/3 x y = ¾ x
Solving the equation 4y = 3x for y, we divide both sides of the equation by 4:
y = (3/4)x
Therefore, the correct response is:
y = (3/4)x
Solve the equation for x: 2x+b=c Check this process: Step 1: 2x+b−b=c−b Step 2: 2x=c−b Step 3: 2x−2=c−b−2 Step 4: x=c2−b−2 Check all of the choices that are true statements. (1 point) Responses There is no error in the process. There is no error in the process. The process has an error from step 1 to step 2 The process has an error from step 1 to step 2 The process has an error from step 2 to step 3 The process has an error from step 2 to step 3 The process has an error from step 3 to step 4
The correct responses are:
1) There is no error in the process.
2) The process has an error from step 2 to step 3.
To determine who solved for y correctly, we need to compare the equations given by Bob, Bill, and Bud and see if they match the original equation. The original equation is 11x - 8y = -48.
Let's check each person's work:
1. Bob's work: -8y = -59x
To solve for y, we need to divide the equation by -8, which would give y = 59/8*x. Bob's work does not match the original equation.
2. Bill's work: -8y = -11x - 48
To solve for y, we need to divide the equation by -8, which would give y = 11/8*x + 6. Bill's work does not match the original equation.
3. Bud's work: -8y = -11x - 48
To solve for y, we need to divide the equation by -8, which would give y = 11/8*x - 6. Bud's work does not match the original equation.
None of the given solutions for y match the original equation. Therefore, none of Bob, Bill, or Bud solved for y correctly.