Since the price of the coffee itself is $1.25, the gradient of the function will be 1.25 and will give a straight line. However, since the first cup of coffee costs $3, when extrapolated to x = 0, the price is 3 - 1.25 = $1.75 which indicates the cost of using the cup. Therefore this is the y-intercept. This can be expressed as a linear function of y = mx + c where y is the price, m is the gradient, x is the number of times the cup has been filled with coffee, and c is the price of using the cup, giving:
y = 1.25x + 1.75
Answer: 8 times.
Step-by-step explanation:
I will answer in English:
This says:
The volume of a cube is 125cm^3
How many times the volume will increase if we duplicate the lenght of the side?
If L is the lenght of the side, we have that the volume of the cube is:
V = L^3
If we duplicate the lenght of the side, the new volume is:
V = (2*L)^3 = 8*L^3
So we can see that the volume of the new cube is 8 times the volume of the previous cube.
Now, we can do the math, for our original cube we have:
L^3 = 125cm^3
L = 5cm
the new cube has L' = 2*L = 10cm
The volume of this cube is:
V' = L'^3 = 10cm^3 = 1000cm^3
the ratio V'/V is:
1000cm^3/125cm^3 = 8
You can make a proportion!!
.
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24 x
---- = ---- , where x is the width.
12 2
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So? Cross multiply.
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12x=48.
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Simplify, or isolate x.
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x = 12.
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Hope I helped!!
Answer:
x= -14
Step-by-step explanation:
-14 subtracted by 2 is -16, since its absolute it means its positive, meaning its 16 greater than 14, I may be wrong so just to let you know. Depends on how the teacher wants it to be.
