We are given equations y =3.5x and y=25x +40.50.
Where x represent time in hours and y represents cost in dollars.
We need to determine that which equation is not the equation of a proportional relationship?
In first equation we have slope 3.5 and y-intercept 0.
In second equation, we have slope 25 and y-intercept 40.50.
<em>In order to have a a proportional relationship, there should be y-intercept =0.</em>
<h3>Therefore, y= 25x + 40.50 is not the equation of a proportional relationship.</h3>
Step-by-step explanation:
Initially, there's only 1 letter.
Tania sends the letter to 4 friends.
Each friend sends a letter to 4 more friends (4 × 4 = 16).
Each of those friends sends to 4 more friends (16 × 4 = 64).
The pattern is 1, 4, 16, 64, etc.
This is a geometric sequence. The first term is 1 and each term is 4 times the previous term.
a₁ = 1
aₙ = 4 aₙ₋₁
The explicit formula is:
aₙ = 1 (4)ⁿ⁻¹
