Question

Cardi the Snake is 14 inches long. She grows at a rate of 5 inches per month.

Write an equation to represent Cardi's growth. *Hint: Slope-Intercept Form y = mx + b*
aph the equation on the coordinate plane below.

Answer 1

• Rate of change=m=5
• Initial=14in

Equation in slope intercept form

• y=mx+b
• y=5x+14

Find some coordinates

x=0

• y=14

x=1

• y=19

x=-1

• y=9

Graph attached

Answer 2

`y = 5x + 14`

Explanation:

The slope-intercept form of linear equation is given by

`\bf y = mx + b`

where:

• m is the slope (Av. rate of change)
• b is the initial value

Converting the words to mathematics is very easy here. As its assers that Cardi the snake is 14in long , we can conclude that b is 14 and clearly 5 is the average rate of change, that is, m . Hence the equation that represents Cradi's growth is

`\boxed{y = 5x + 14}`

(refer to the attachment for graphical representation)