Exponent Problem

A population of rabbits triples every month. Write an exponential expression to represent the population after x months if there were originally 50 rabbits.

• 50 * x^3

• 50 * 3x

• 50 * 3^x

• 50 + 3^x

Tags

CCSS.HSF.LE.A.2

If an investment grows by 5% each quarter, write an exponential expression to represent the value of the investment after x quarters if the initial amount was $500.

• $500 * (1.5)^x

• $500 * (1.05)^{x+1}

• $500 * (1.05)^(2x)

• $500 * (1.05)^x

Tags

CCSS.HSF.LE.A.2

A forest fire spreads to double its size every 6 hours. Write an exponential expression to represent the size of the fire after x hours if it originally covered 10 acres.

• 10 * 2^(x/6)

• 10 * 2^(6/x)

• 10 * 2^(x-6)

• 10 * 2^(x*6)

Tags

CCSS.HSF.LE.A.2

A computer virus infects 1000 devices and spreads to 5000 devices every hour. Write an exponential expression to represent the number of infected devices after x hours.

• 1000 * 5^x + 5000

• 1000 * 5^(x-1)

• 1000 * 5^x

• 1000 * 5^(x+1)

Tags

CCSS.HSF.LE.A.2

A bank account earns 3% interest compounded annually. Write an exponential expression to represent the balance after x years if the initial deposit was $2000.

• $2000 * (1 + 0.03)^2x

• $2000 * (1 + 0.03)^{x+1}

• $2000 * (1 + 0.03)^{x-1}

• $2000 * (1 + 0.03)^x

(8¹) (8⁶)

• 8⁷

• 8⁵

• 8⁶

• 8^1/6

Tags

CCSS.8.EE.A.1

(x³)⁵

• x⁸

• x²

• x¹⁵

• x^5/3

Tags

CCSS.HSA.APR.A.1

(x²)⁰

• x

• x^-2

• x²

• 1

Tags

CCSS.8.EE.A.1

(x^-8) (x²)

• x¹⁰

• x⁶

Tags

CCSS.8.EE.A.1

(2x⁴) (3x²)

• 5x⁶

• 6x⁶

• 5x²

• 6x⁸

Tags

CCSS.HSA.APR.A.1