A brand cookie mix calls for baking cookies at a temperature of 350°F. However, for high altitues (3500-6500 ft. above sea level) l, baking at 37t°F is suggested.
a. Construct a piecewise linear function for the recommended baking temperature, T (s), as a function of ft above sea level,s.
T (s)=_______, 0 </= to s <3500
T (s)=_____, 3500 </=s </= 6500
To construct a piecewise linear function for the recommended baking temperature, T (s), as a function of feet above sea level, s, we need to determine the different conditions or ranges and their corresponding temperatures.
Given:
1. For 0 ≤ s < 3500 ft: The recommended baking temperature is 350°F.
So, for this range, the function will be T(s) = 350.
2. For 3500 ≤ s ≤ 6500 ft: The suggested baking temperature is 37t°F.
So, for this range, the function will be T(s) = 37t.
Hence, the piecewise linear function for the recommended baking temperature, T (s), as a function of feet above sea level, s, is:
T (s) = 350, 0 ≤ s < 3500
T (s) = 37t, 3500 ≤ s ≤ 6500