There are 8 elephants in the zoo. Each elephant eats about 2.16 × 105 pounds of vegetation per year.

The zookeeper asked Nate and Elena to determine how many pounds of vegetation is required to feed all of the elephants. They wrote their solutions in scientific notation.

Nate's Solution Elena's Solution

8 × (2.16 × 105) 8 × (2.16 × 105)

= (8 × 2.16) × 105 = (8 × 2.16) × (8 × 105)

= 17.28 × 105 = 17.28 × 805

= 1.728 × 106 = 1.728 × 806

Who is correct? Explain.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

a.)the line for function b is steeper