Acab charges $1.45 for the flat fee and $0.55 for each mile. write and solve an inequality to determine how many miles ariel can travel if she has $35 to spend.

a: $1.45 + $0.55x ≥ $35; x ≥ 61 miles
b: $1.45 + $0.55x ≤ $35; x ≤ 61 miles
c: $0.55 + $1.45x ≥ $35; x ≥ 23 miles
d: $0.55 + $1.45x ≤ $35; x ≤ 23 miles

B: $1.45 + $0.55x ≤ $35; x ≤ 61 miles

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

So, we have to multiply 0.55 by the number of miles (x) and add the flat fee (1.45). That expression must be equal or less to the money that Ariel has (35)

Mathematically speaking:

1.45 + 0.55x ≤35

Solving for x:

0.55x ≤35 -1.45

0.55x ≤ 33.55

x ≤ 33.55/0.55

x ≤ 61

She can travel up to 61 miles with $35 .

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6