For two weeks during the summer, Miguel tracks the daily high temperature and the total sales at an ice cream stand. He models the relationship with the equation S = 20.5t + 305, where Sis the total daily ice cream sales in dollars and t is the number of degrees over 80°F. For example, t = 10 means a temperature of 80 + 10 = 90°. Find the slope and initial value of the model with the correct units. Explain the relationship between temperature and ice cream sales.

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

1875cm³

step-by-step explanation:

we have a 20 × 20 × 5 container with (what im guessing is a) 5 × 5 × 5 hole in the center. first, we need to calculate the volume of the 20 × 20 × 5 container.

20 × 20 × 5 = 2000cm³

now, we need to calculate the volume of the hole.

5 × 5 × 5 = 125cm³

now to find the area of the container, we take to solid area of the container, and subtract the area of the hole.

2000cm³ - 125cm³ = 1875cm³