Answer:
r = - [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r = [tex]\frac{k}{t}[/tex] ← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 = [tex]\frac{k}{-6}[/tex] ( multiply both sides by - 6 )
12 = k, thus
r = [tex]\frac{12}{t}[/tex] ← equation of variation
when t = - 7, then
r = [tex]\frac{12}{-7}[/tex] = - [tex]\frac{12}{7}[/tex]
