Answer: d) 3 hours.
Step-by-step explanation:
Let x be the required number of hours for which the total fee charged by the companies the same.
Given: Peppy Pets charges a flat fee of $15 plus $3 per hour .
So Total charge = 15+3x ( in dollars)
Happy Hounds charges a flat fee of $21 plus $1 per hour.
So Total charge = 21+x ( in dollars)
When the total charge for both companies are the same, then

Hence, the correct option is d) 3 hours.
Answer:
D.
Step-by-step explanation:
Answer:
option A. 3x - y = 2 and 3x - y = 1
Step-by-step explanation:
Using the rule of y-intercept which is the value of y when x equals 0
<u>Option A:</u> 3x-y=2 and 3x-y=1
y-intercepts will be ⇒ -2 and -1
<u>Option B:</u> 3x+y=2 and 3x-y=1
y-intercepts will be ⇒ 2 and -1
<u>Option C:</u> 3x-y=2 and 3x+y=1
y-intercepts will be ⇒ -2 and 1
<u>Option D:</u> 3x+y=2 and 3x+y=1
y-intercepts will be ⇒ 2 and 1
Comparing the results with the y-intercepts from the graph
From the graph the system of equation intersects with y-axis, (which mean x=0), at y = -2 , -1
So, the system which is represented by the graph is option A
The point slope form is y - y2 = m(x - x2)
Hope I helped