Respuesta :

Equation:

f(x) = 2.10x + 5

Paid $49.10

2.1x + 5 = 49.10

2.1x = 44.1

x = 21

The distance between airport and Ann's home = 21 miles

Hello!, this is a linear problem. So we can use y = mx + b

m = slope = rate = 2.10

b = initial cost = 5.00

y = total cost = 49.10

x = distance

Now, just plugin our information into our formula/model

y = mx + b

49.10 = 2.10x + 5.00

Now solve for x to find the distance

49.10 = 2.10x + 5.00

(-5.00) + 49.10 = 2.10x + 5.00 + (-5.00)

(-5.00) + 49.10 = 2.10x + 5.00 + (-5.00)

44.10 = 2.10x

44.10 / 2.10 = 2.10x / 2.10

44.10 / 2.10 = x

21 =x

x = 21

x = distance = 21