(3,13) and (6,14)
rate of change and initial
me

Part 1) The rate of change is

Part 2) The initial value is

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or rate of change

b is the y-intercept or initial value

step 1

Find the slope or rate of change

The formula to calculate the slope between two points is equal to

we have the points

(3,13) and (6,14)

substitute the values in the formula

therefore

The rate of change is

step 2

Find the initial value

we have

substitute in the equation

solve for b

---> initial value

The linear equation is equal to

The y-intercept or initial value is 12

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt