Step-by-step explanation:
A relationahip is proportional if both variables can be both 0.
y = 0.5x
(0) = 0.5(0)
Since the equality is true, it is proportional.
To graph the function, plot (0, 0) and (10, 5) on the graph and draw a line through the points.
Answer:
y = 3
Step-by-step explanation:
Substitute the given points into the function and solve for a and b
Using (2, 12)
12 = ab² → (1)
Using (5, 96)
96 = a
→ (2)
Divide (2) by (1)
= 
, that is
b³ = 8 ( take the cube root of both sides )
b = ![\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D)
= 2
Substitute b = 2 into (1) and solve for a
12 = a2² = 4a ( divide both sides by 4 )
3 = a
Thus
y = 3 ← is the exponential function
Answer: The membership will last for 12 months.
Step-by-step explanation:
Let x represent the number of months that the membership would last.
Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. This means that the total cost of using the gym for x months would be expressed as
12.5x + 24.99
If Cleo pays $174.99, it means that
12.5x + 24.99 = 174.99
12.5x = 174.99 - 24.99
12.5x = 150
x = 150/12.5
x = 12
