With the information provided, we can begin with the equation:
y=35x + b
With x = number of hours, y = total cost, b = fixed amount that is charged for residential work
We know that after 6 hours, $270 was charged:
$270 = $35(6) + b
Solve for b:
b = $270 - $210 = $60
The fixed amount that is charged for residential work is $60. So now we can rewrite the equation as:
y = 35x + 60
i am not shure what the answer is to this?
They have 310 stickers in total
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below