Question

Carmen's dad offers to give her $10 on Sunday. Then for each day of the week, he offers to give her 10 times the amount from the previous day. How much will he give her on Saturday? Write an expression to show how much Carmen's dad gives her on Saturday.

a) $10; 10^6
b) $10; 10^7
c) $10; 10^5
d) $10; 10^8

Answer 1

Carmen's dad will give her $10,000,000 on Saturday by multiplying the amount he gives her each day by 10.

The answer is option ⇒a) $10; 10⁶

Step-by-step explanation:

To find out how much Carmen's dad will give her on Saturday, we need to determine the amount he gives her each day of the week. On Sunday, he gives her $10. Then for each subsequent day, he gives her 10 times the amount from the previous day. So we start with $10 and multiply it by 10 each day:

• Sunday: $10
• Monday: $10 × 10 = $100
• Tuesday: $100 × 10 = $1000
• Wednesday: $1000 × 10 = $10000
• Thursday: $10000 × 10 = $100000
• Friday: $100000 × 10 = $1000000
• Saturday: $1000000 × 10 = $10000000

Therefore, her dad will give her $10,000,000 on Saturday.

The answer is option ⇒a) $10; 10⁶

Answer 2

Carmen's dad gives her an exponentially increasing amount of money each day, starting with $10 on Sunday. By Saturday, she will receive $10 multiplied by ten to the sixth power, which is expressed as $10; 10^6.

Step-by-step explanation:

The problem presents an exponential growth situation where the amount Carmen receives each day is ten times the amount of the previous day. Starting with $10 on Sunday, if we want to find out how much she gets on Saturday, we simply multiply $10 by 10 for each day that follows. Therefore, we need to use exponentiation to calculate the amount for each successive day:

• Sunday: $10 *
• Monday: $10 * 10
• Tuesday: $10 * 10^2
• Wednesday: $10 * 10^3
• Thursday: $10 * 10^4
• Friday: $10 * 10^5
• Saturday: $10 * 10^6

So, the correct expression to show how much Carmen's dad gives her on Saturday is $10; 10^6.