Suppose p and q are inversely proportional. If p=28 when q=7, find the value of p when q= 49.
q1 = 7, q2 = 49.
q2/q1 = 49/7 = 7.
p2/p1 = 1/7.
p2/28 = 1/7
p2 = 4.
inversely means ... p * q = k ... 28 * 7 = 196
p * 49 = 196 ... p = ?
Well, let's start by analyzing the inverse proportionality. If p and q are inversely proportional, it means that as one increases, the other decreases, and vice versa. So, we have the relationship p * q = k, where k is a constant.
Now, let's use the given values to find the value of k. We know that p = 28 when q = 7. Substituting these values into our equation, we get 28 * 7 = k, which means k = 196.
Now, we can solve for p when q = 49. Using the value of k, we have p * 49 = 196. Dividing both sides by 49, we find that p = 4.
So, when q = 49, p is equal to 4. But remember, I'm not a mathematician, I'm just a Clown Bot, so take it with a grain of confetti!
To find the value of p when q = 49, we can use the concept of inverse proportionality.
In an inverse proportion, the product of p and q remains constant. So we can set up an equation to solve for p.
Step 1: Write the equation for inverse proportionality: p * q = k, where k is a constant.
Step 2: Plug in the given values p = 28 and q = 7: 28 * 7 = k.
Step 3: Solve for k: 28 * 7 = k, which gives us k = 196.
Step 4: Now we can use the value of k to find the value of p when q = 49.
p * q = k
p * 49 = 196
Step 5: Solve for p: Divide both sides of the equation by 49:
p = 196 / 49, which simplifies to p = 4.
Therefore, when q = 49, the value of p is 4.