Question

Zora owns an online fashion boutique. She launched a promotion where followers of her social media account who tag a friend are entered into a giveaway. The linear relationship between the hours since launching the promotion and her total number of followers on social media is shown on the graph below. a. Find the rate of change and explain its meaning. mt



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Answer 1

An equation is formed of two equal expressions. The equation that can be used to represent the graph is y=50x+300.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) The rate of change, in this case, signifies the number of followers Zora is gaining per hour. It can be found using any two coordinates of the line.

(x₁ , y₁) = (0,300) = coordinate of point 1,

(x₂ , y₂) = (2,400) = coordinate of point 2,

Now, the rate of change or the slope will be equal to,

$m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{400-300}{2-0} = 50$

Hence, the rate at which Zora will gain followers is 50 followers/hour.

B.) The y-intercept is the value of y when the value of x is 0. Therefore, the y-intercept of the function is 300.

The y-intercept of the graph is 300, which means at the very initial stage Zora will have 300 followers.

C.) The graph is represented by a line, and the general equation of a line is represented by y=mx+c. To know the value of the constant c, substitute the value of the slope and any coordinate in the equation.

$y=mx+c\\300=50(0)+c\\c=300$

Hence, the equation that can be used to represent the graph is y=50x+300.

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