Answer:
6 days
Step-by-step explanation:
Given
[tex]Rate = -1\frac{1}{2}^\circ F[/tex] -- Negative because it decreases
[tex]Final\ Temperature = -9^\circ F[/tex] -- Negative because it still decreases
Required
Determine the number of days
Let the number of days be d.
So:
[tex]Rate * d = Final[/tex]
[tex]-1\frac{1}{2} * d = -9[/tex]
[tex]1\frac{1}{2} * d = 9[/tex]
Convert to improper fraction
[tex]\frac{3}{2} * d = 9[/tex]
Make d the subject
[tex]d = \frac{9 * 2}{3}[/tex]
[tex]d = 3 * 2\\\\d = 6[/tex]
