Question

Help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!

Answer 1

a.
`y = 21.5x + 376`

b.
`569.5` or with rounding,
`570`.

Explanation:

To set up a linear equation in slope-intercept form, we use the formula y=mx+b, where m is slope given by the formula m=
`(y_(2)-y_1 )/(x_2-x_1)`, and b is the y-intercept (the value of y when x=0). It is given that x is the year, where 2005 is x=0, and y is the number of assistants in thousands, meaning at x=0 (the year 2005), y=376 (376,000 medical assistants). This can be written as the point (0, 376), which is our y-intercept. Using the formula for slope, the slope of this line is found to be
`(215)/(10)`, or 21.5 (
`(591-376)/(10-0)`). This gives us the equation
`y = 21.5x + 376`.

For part (b), simply plug in a value for x, then solve for y. The given value is the year 2014, which can be written as x=9 (x=0 is 2005, x=1 is 2006, etc.). This gives us the equation
`y=21.5(9)+376`, which gives us y=569.5. However, since this is a real-world problem, you can not have "half" a person, so this rounds up to 570.