Can you check my answer?
A business owner is comparing the cost of buying natural gas from two different companies.
Company A charges a $6 fee plus $1.25 per therm (unit of heat).
Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
A. 6 therms
B. 13.5 therms
C. 9 therms
D. 12.75 therms******
NO,
3/.5 means 3 divided by .5
= 6
Don't you have a calculator?
no,
compA = 6 + 1.25t
compB = 9 + .75t
when are they equal?
6 + 1.25t = 9 + .75t
1.25t - .75t = 9+6
.5t = 3
t = 3/.5 = ...
what? so wait... the answer is B. 13.5??? I'm still confused!
Im dumb and confused! I also am very sick and loopy from my cough meds lol soooooo sorry! thank you very muchhhh!!
To find the number of therms at which the cost will be the same for both companies, we need to set up an equation based on the given information.
Let's start with Company A. The cost for Company A can be calculated using the formula: Cost_A = $6 + $1.25 per therm.
Similarly, the cost for Company B can be determined using the formula: Cost_B = $9 + $0.75 per therm.
Now, we want to find the number of therms at which the cost is the same for both companies. Let's represent the number of therms as 'x'.
So, the equation becomes: Cost_A = Cost_B
Substituting the formulas for Company A and Company B, we get: $6 + $1.25x = $9 + $0.75x
To solve this equation, we will isolate the 'x' variable on one side of the equation.
Subtracting $0.75x from both sides gives us: $6 + $1.25x - $0.75x = $9
Simplifying the equation further, we have: $0.5x + $6 = $9
Next, we subtract $6 from both sides: $0.5x = $9 - $6
Simplifying further, we get: $0.5x = $3
To solve for 'x', we can divide both sides of the equation by $0.5: x = $3 / $0.5
Evaluating this expression, we find that x = 6.
Therefore, the cost will be the same at both companies when the number of therms is 6.
Based on the provided answer choices, the correct option is:
A. 6 therms