Question

(a) the slope - intercept form of the line that passes through these data points is y = - 3.5x
(simplify your answers. use integers or decimals for any numbers in the equation.)
predict y when x = - 3.8.
(simplify your answer. round to the nearest hundredth.)
y = 118.5
predicting y for this value of x is an example of which of the following?
interpolation extrapolation
predict y when x = 7.6.
(simplify your answer. round to the nearest hundredth.)
y = 78.6
predicting y for this value of x is an example of which of the following?
interpolation extrapolation

Explanation:

Step1: Identify the slope - intercept form

The equation of the line is in the form $y=mx + b$, where $m=-3.5$ and assume $b = 0$ (not given otherwise).

Step2: Predict $y$ when $x=-3.8$

Substitute $x=-3.8$ into $y=-3.5x$. So $y=-3.5\times(-3.8)=13.3$.

Step3: Predict $y$ when $x = 7.6$

Substitute $x = 7.6$ into $y=-3.5x$. So $y=-3.5\times7.6=-26.6$.

Answer:

(a) $y = 13.3$
(b) $y=-26.6$