Hey! Your rational number would be 
Yellow Cab : y = 0.25x + 5
Express Cab: y = 1.5x
a) Yellow Cab: 1.75 + 5 = 6.75
Express Cab: 1.5 * 7 = 10.5
YELLOW CAB
b) Yellow Cab: 0.75 + 5 = 5.75
Express Cab: 1.5 * 3 = 4.5
EXPRESS CAB
c) 0.25x + 5 = 1.5x
1.25x = 5
x = 4
4 MILES
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
Answer:
y = x + 1
Step-by-step explanation:
y = mx + b
First, find the y-intercept. This is where the line intersects with the y-axis.
So, 1. -> y = mx + 1
Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.
(1/2)/(1/2)
= 1 -> y = x + 1
Therefore, y = x + 1
