5. $$ p $$ varies inversely with $$ q $$. If $$ q=68 $$ when $$ p=30 $$, what does $$ p $$ equal when $$ q $$ equals 51 ?

Question

UpStudy AI · Accepted Answer

Since $$ p $$ varies inversely with $$ q $$, their relationship can be described by the equation:

$$
p = \frac{k}{q}
$$

where $$ k $$ is a constant.

**Step 1: Find the constant $$ k $$.**

Given $$ p = 30 $$ when $$ q = 68 $$:

$$
30 = \frac{k}{68} \
k = 30 \times 68 \
k = 2040
$$

**Step 2: Find $$ p $$ when $$ q = 51 $$.**

Using the constant $$ k = 2040 $$:

$$
p = \frac{2040}{51} \
p = 40
$$

**Answer:** When $$ q = 51 $$, $$ p = 40 $$.
When $$ q = 51 $$, $$ p = 40 $$.

varies inversely with . If when , what does equal when
equals 51 ?