The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.
Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.
Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct
Answer:
D
Step-by-step explanation:
Either try all the numbers and see which ones work or do the following.
Times both sides by 2x-5.
3=x(2x-5)=2x^2-5x
Rearrange and solve the quadratic. I will factorise.
2x^2-5x-3=0
(2x+1)(x-3)=0
so x = -1/2 or 3
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:

Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:

Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
If you are talking about $110 being increased by 140% then the answer is $264