Question

A. A newborn red panda weighs 100 grams. A

healthy cub gains about 7% of its newborn weight per
day. Write an expression to represent how much you would
expect a cub to weigh d days after it's born.​

Answer 1

`y=100\cdot (1.07)^d`

Explanation:

Find the expression to represent how much you would expect a cub to weigh
`d` days after it's born as exponential growth function
`y=a\cdot b^d,` where
`a` is the initial panda's weight and
`b` is the rate of growth.​

A newborn red panda weighs 100 grams, then
`a=100.`

A healthy cub gains about 7% of its newborn weight per day, then

`b=1+0.07=1.07`

Hence,

`y=100\cdot (1.07)^d`