Question

At the beginning of a storm, a pond was 16 cm deep. During the storm, the depth increased by 1.5 cm every hour for 8 h. What graph represents the depth of the pond over this time period?

Answer 1

Let's assume

depth of pound over time is h cm

time in hours as t

We are given

At the beginning of a storm, a pond was 16 cm deep

so, we get

`h(0)=16`

so,

`b=16`

we can use formula

`h(t)=mt+b`

the depth increased by 1.5 cm every hour for 8 h

so, we get

`m=(1.5)/(8) =0.1875`

so, we can plug these values

and we get

`h(t)=0.1875t+16`

now, we can draw graph

Graph: