Question

The size of the hermit crab’s shell depends on

the size of the crab. Look at the table below. If a 2-inch hermit crab
grows 1 inch per year, use words to describe a rule that will show
how long a 2-inch crab will grow in x years. Write an expression to
find how large this crab will grow in x years.


Length 2 3 4 5 6 7 8 9 10 11 12 ■
Number of Years 0 1 2 3 4 5 6 7 8 9 10 x

Answer 1

i. the length of the of the crab per year is greater than its number of years (x) by 2

ii. length = x + 2

Explanation:

i. Given that the size of the hermit crab's shell depends on its size. And it grows 1 inch in a year, then it can be deduced that;

the length of the of the crab per year is greater than its number of years (x) by 2.

ii. To show how large the crab will grow in x years, the required expression that would describe the relationship between the length and years (x) of the crab is:

length = x + 2

lim x → 0, 1, 2,.., x,....

where x is the number of years

Therefore in x years, the length of the crab would be equal to x + 2.