Yuri is 5 miles from home he walks home at a speed of 1.5 miles per hour. The variable x represents time in hours and y represents yuri's distance from home in miles. Which equation models this solution

1.5x= y

Step-by-step explanation:

Speed = distance / time

The variable x represents time in hours and y represents yuri's distance from home in miles.

Therefore

Speed = y/ x

But distance = 5 miles and  speed= 1.5 miles

1.5 = y/x

or

1.5x= y

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752