Scientists have discovered that a linear relationship exists between the amount of flobberworm mucus secretions and the air temperature. When the temperature is 65°F, the flobberworms each secrete 16 grams of mucus a day; when the temperature is 95°F, they each secrete 22 grams of mucus a day. Find a function M(t) that gives the amount of mucus secreted on a given day, where t is the temperature of that day in degrees Fahrenheit.
A) $M(t)=0.2 t+16$
B) $M(t)=5 t+16$
C) $M(t)=5 t+3$
D) $M(t)=0.2 t+3$

Question

Quizplus · Accepted Answer

The slope of the linear relationship is calculated as (22-16)/(95-65) = 0.2. Using the point-slope form, M(t) = 0.2(t - 65) + 16, which simplifies to M(t) = 0.2t + 3.

Scientists Have Discovered That a Linear Relationship Exists Between the Amount