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Margarita [4]
3 years ago
7

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus

$1 per hour. For how many hours is the total fee charged by the companies the same? a) 4 hours b) 5 hours c) 2 hours d) 3 hours
Mathematics
1 answer:
stich3 [128]3 years ago
7 0

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

15+3x=21+x\\\\\Rightarrow\ 3x-x=21-15\\\\\Rightarrow\ 2x=6\\\\\Rightarrow\ x=3

Hence, the correct option is d) 3 hours.

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First of all, remember what the equation of a line is:

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Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope

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To find b, think about what your (x,y) point means:<span>(14,3). When x of the line is 14, y of the line must be 3.

Because we were given the point (14,3) 
</span>

We need to find the value of b.  The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).

<span>Plug in for x the number 14 and for y the number 3:
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solving for b: b=3-(2)(14). b=-25.

<span>Plug that in for b: 
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