The graph shows the cost (C) of shipping a package based on its mass in pounds (p)
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Let us assume that : 7 × 10⁶ is P times Greater than 4.5 × 10⁻¹
It means when we Multiply P with 4.5 × 10⁻¹, We should get 7 × 10⁶
⇒ (P × 4.5 × 10⁻¹) = 7 × 10⁶
⇒ 7 × 10⁶ is 1.56 × 10⁷ times Greater than 4.5 × 10⁻¹
For this case we must find an expression equivalent to:
To express in scientific notation we must take into account that the power will be positive, that is, the decimal is run to the right.
We test each option.
Option A:
If we run the decimal 9 spaces to the left we have:
Option B:
We discard it because the exponent is negative.
Option C:
We run the decimal 6 spaces to the right
Option D:
We run the decimal 9 spaces to the right
Answer:
Option D