Question

The function ​S(T,r)=70​(T−90)(4−​r) gives an ice cream​ shop's daily sales as a function of temperature T​ (in degrees°​F) and rain r​ (in inches). Find Sr (80, 6) ​(include the appropriate​ units) and explain what it means.

Answer 1

The value of Sr (80, 6) is 1400 units.

The shop's daily sales when temperature is 80°​F and rain is 6 inches.

Explanation:

Given function that represents the daily sale,

S(T,r)=70​(T−90)(4−​r),

Where,

T = temperature (in degrees°​F),

r = rain ( in inches),

If T = 80°​F, r = 6 inches,

S(80, 6) = 70​(80−90)(4−​6) = 70(-10)(-2) = 1400 units

Hence, S(80, 6) represents the shop's daily sales when temperature is 80°​F and rain is 6 inches.