Question

(a) write an approximate equation of the line of best fit. round the coefficients to the nearest hundredth.
$y = -x + 95$
(b) using your equation from part (a), predict the monthly heating cost for a month with an average temperature of $25^{circ}$f. round your prediction to the nearest hundredth.

Explanation:

Part (b)

Step1: Identify the equation and substitute \( x \)

We have the equation \( y = -x + 95 \) from part (a). We need to find the value of \( y \) when \( x = 25 \) (since the average temperature is \( 25^\circ\text{F} \)). Substitute \( x = 25 \) into the equation:
\( y = -25 + 95 \)

Step2: Calculate the result

Simplify the right - hand side of the equation:
\( y=70.00 \) (rounded to the nearest hundredth)

Answer:

The monthly heating cost is \( \$70.00 \)