The equation y= 0.24x + 1.20 can be used to predict the price of fuel per gallon, where x is the number of years since 2002. according to the model, what will the price of fuel oil per gallon be in 2027?

1. $7.68
2. $7.44
3. $7.36
4. $7.20

Your answer would be 4:$7.20 because 2027-2002 is 25 years and 0.24(25)+1.20 is $7.20

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