Question

1. hannah noticed that the number of dog barks that are heard in her video game is dependent on the number of cars that drive down a neighborhood street in the game.

number of dog barks in terms of number of cars

number of cars	number of dog barks
10	25
15	35
20	45
25	55
30	65
35	75

which equation best represents the number of dog barks (b) in terms of the number of cars that drive down the street (c) during the game?
c = 5b + 2
b = 2c + 2
c = 2b + 5
b = 2c + 5
clear all

Explanation:

Step1: Calculate slope (m)

Using (5,15) and (10,25): $m=\frac{25-15}{10-5}=2$

Step2: Find intercept (k)

Using $b=mc+k$ and (5,15): $15=2(5)+k\Rightarrow k=5$

Step3: Form equation

$b=2c+5$

Answer:

D. $b=2c + 5$