The value of a home in 2015 was $400,000. Its value has been doubling each decade. Type of exponential function.

If v is the value of the home, in dollars, write an equation for v in terms of d, the number of decades since 2015.

a) Type of exponential function.

b) If v is the value of the home, in dollars, write an equation for v in terms of d, the number of decades since 2015.

c) What is the value of the home in 2026?

a. is correct

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0