Answer:
<em>The freezing point of water increases by 0.0001 degrees Fahrenheit when the altitude increases by 1 foot.</em>
Step-by-step explanation:
The model for the freezing point of water T at altitude a is:
T(a)= 0.0001a+32
The slope of this equation is the coefficient of the variable a. Since the slope is positive, it means the freezing point of water increases by 0.0001 degrees Fahrenheit when the altitude increases by 1 foot.
For example, when a=1000, the freezing point is:
T(1000)= 0.0001*1000+32 = 32.1°F
When a=1001, the freezing point is:
T(1001)= 0.0001*1001+32 = 32.1001°F
Note the increase of 1 foot in altitued meant an increase of 32.1001-32.1 = 0.0001°F
Answer:
(4,-1)
Step-by-step explanation:
You can solve this system of equations in a couple of different ways, but I'm going to use the elimination method. If you're solving a system of equations using elimination, you want to have one variable cancel out. In this case, we don't have to change anything because -3y and 3y will already cancel out if we add the two equations together. You can both add or subtract, but it's easiest to add in this case. The equation will be set up like this: 2x-3y=11
+ 7x+3y=25
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After you add them together, you should get 9x=36, which you can solve by dividing both sides by 9. Then, you'll get x=4. This is your x-coordinate. Next, you want to get your y-coordinate, so you can substitute 4 into one of the two equations for x and solve for y. This will get you -1 for y. I'd also recommend checking your answer. Hope this was helpful! :)
Hi, what is the question?
Answer:
y = 16
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 48 when x = 6, thus
k = 
= 
= 8
y = 8x ← equation of variation
When x = 2, then
y = 8 × 2 = 16
