Answer:
16,300,000 viewers
Step-by-step explanation:
We have two ordered pairs and we can write an equation in the slope intercept form of the line from the information that we have.
y = mx + b y is the number of viewers and x in the number of minutes of ads.
m is the slope. That is the change in y over the change in x. We will use the two points given to find this.
(14, 10,000,000) (25, 17,000,000)
slope:
[tex]\frac{y{1}- y{2} }{x_{1}-x_{2} }[/tex] = [tex]\frac{17,000,000 - 10,000,000}{25-15}[/tex] =[tex]\frac{7,000,000}{10}[/tex] = 700,000
Now we need the b or the y-intercept. We will use the slope and one of the points to find this. We could use either point. I am going to use the point (15, 10,000,000)
y = mx + b
I will use 10,000,000 for y
I will use 15 for x
I will use 700,000 for the slope.
I will plug these numbers in and solve for b
10,000,000 = 700,000(15) + b
10,000,000 = 10,500,000 + b Subtract 10,500,000 from both sides
-500,000 = b
Now we can write the equation
y = mx + b
y = 700,000x -500,000 Plug is the 24 for x to solve for the number of views.
y = 700,000(24) -500,000
y = 16,800,000 - 500,000
y = 16,300,000
