There is one out of six proability that he will get a 4. there is a 1 and 2 chance hell get heads- ((1/6)times (1/2)) (i think)
Hey there!
We're going to write the equation for this line in slope-intercept form, y = mx+b, where m is the slope and b is the y-intercept. In order to write it in this form, as stated in the name, we need the slope and y-intercept. Since we have the slope given, we can use the points we have and set up that equation with the given slope to solve for b. We'll use the x and y values and throw them into the equation. We have:
-1 = 3/2(4) + b
-1 = 12/2 + b
-1 = 6 + 6
-6 = b
Now, since we have our slope and y-intercept, we can write our equation with these two values:
y = 3/2x - 6
Hope this helps!
the product = multiply
If is the product of 67 and the number of we, then your answer is 67 · we.
If is the product of 67 and the number of weks, then your answer is 67 · weks.
4g/cm^3
D = M/V
100g/25cm^3 = 4g/cm^3
When we say two quantities 
and 
are proportional to one another, there are two ways we could mean this.
- If is *directly* proportional to , then we mean that as changes, changes in the same direction. In other words, if is in/decreased, then also in/decreases. The rate of in/decrease doesn't have to be one-to-one; for example, we could have increase by 1 unit while would proportionally increase by 5 units. In this case, we'd have 
.
- On the other hand, if is *inversely* proportional to , then a change in results in a change in that goes in the opposite direction. A common example involves taking a rectangle of constant area and adjusting the width and length . If the rectangle has an area of 5 square units, then we could have 
and 
, or we could have 
and 
, or 
and 
, or any combination of and such that 
is satisfied.
In both cases, we call 5 the "constant of proportionality".
On to your exercises:
(1a) Looks like 
stands for number of apples. Then we're told that the cost 
, which means that for every apple, the cost increases by 2.3 dollars. So the constant of proportionality is 2.3. In the language of proportionality, we could then say that the cost of apples is directly proportional to the number of apples by a factor of 2.3.
(1b) 5.4
(1c) 12.5
