Question

19 multiple choice 1 point this table shows the average daily temperature and the number of ice cream cones sold at a local shop. temperature vs. cones sold temperature °f (x) cones sold (y) 70 205 75 240 80 280 85 310 90 345 the data set is best modeled with a linear best - fit function. what is the approximate number of cones sold for a day with a temperature of 82°f?

Explanation:

Step1: Find the slope

Use two points \((x_1,y_1)=(70,205)\) and \((x_2,y_2)=(90,345)\).
Slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{345 - 205}{90 - 70}=\frac{140}{20}=7\)

Step2: Find the y - intercept

Use the point - slope form \(y - y_1=m(x - x_1)\), substitute \(m = 7\), \(x_1=70\), \(y_1 = 205\)
\(y-205=7(x - 70)\)
\(y-205=7x-490\)
\(y=7x - 285\)

Step3: Substitute \(x = 82\)

\(y=7\times82-285\)
\(y = 574-285\)
\(y=289\approx290\)

Answer:

290