Q16. - Algebra 2

Question

For exercise 15 and 18, use the table below that shows the elevation and average precipitation for selected cities.

City	Elevation (feet)	Average Precip. (inches)
Rome, Italy	79	33
Algiers, Algeria	82	27
Istanbul, Turkey	108	27
Montreal, Canada	118	37
Stockholm, Sweden	171	21
Berlin, Germany	190	23
London, England	203	30
Paris, France	213	26
Bucharest, Romania	298	23
Budapest, Hungary	456	20
Toronto, Canada	567	31

16. Write a prediction equation.

Step-by-Step Solution

Answer

The required equation is $y=-0.04x+34.52$

Step-1 – Determine the points.

Consider Elevation as x coordinate and Average Precip. as y coordinates

Use the points $(213,26) and (298,23)$ to determine the slope of the line.

Step-2 – Calculate slope

The slope of the line is $\text{Slope =}\frac{y_2-y_1}{x_2-x_1}$

Substitute $\left(x_1{y}_1\right)=(213,26) and \left(x_2{y}_2\right)=(298,23)$ into the slope formula.

  $\begin{array}{l}m=\frac{23-26}{298-213}\\ =-\frac{3}{85}\\ \approx -0.04\end{array}$

Step-3 – Determine the equation of line.

The point slope form is $y-y_1=m(x-x_1)$

 $\begin{array}{l}y-26=-0.04(x-213)\\ y=-0.04x+34.52\end{array}$