Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = = 6
Answer:
$1.475 is the average amount of snack sales per ticket sold.
Step-by-step explanation:
We are given the following in the question:
Number of popcorn bags sold = 3
Cost of a popcorn bag = $2.25
Total cost of popcorn bag = = $6.75
Number of soda sold = 4
Cost of a soda = $1.50
Total cost of soda = = $6.00
Number of candy bars sold = 2
Cost of a candy bar = $1.00
Total cost of candy bars = = $2.00
Total sales =
Total cost of popcorn + Total cost of soda + Total cost of candy bar
Average amount of snack sales per ticket sold =
Thus, $1.475 is the average amount of snack sales per ticket sold.