Question

a scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees fahrenheit, of the sauna. which interpretation describes a line of best fit of $y = -1.5x + 173$ for the data? \\(\bigcirc\\) the member can tolerate a temperature of $173^\circ$ fahrenheit for 0 minutes. \\(\bigcirc\\) the amount of time the member can tolerate the heat in a sauna is 173 minutes. \\(\bigcirc\\) the time increased 1.5 minutes for every degree fahrenheit the temperature increased. \\(\bigcirc\\) the time decreased 1.5 minutes for every degree fahrenheit the temperature decreased.

Explanation:

The equation is in slope-intercept form $y = mx + b$, where $m=-1.5$ (slope) and $b=173$ (y-intercept).

• The y-intercept $b=173$ means when $x=0$ (time=0 minutes), $y=173$ (temperature=173°F), which matches the first option.
• The slope shows that for each 1-minute increase in $x$, $y$ decreases by 1.5°F, so the other options misinterpret the slope and intercept.

Answer:

A. The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.