Answer:
f(x) = 25x + 400
Step-by-step explanation:
Here, we want to find the relationship between the number of diaper packs and the total cost
From what we have in the options, we can see a linear relationship;
Since it is a linear relationship, it can be modeled using the equation;
y = mx + b
where m is the slope and b is the y-intercept
From what we have, we can identify the following parts;
where x represents number of diaper packs and f(x) or y represents total cost
The points identifiable are as follows;
(2,450) , (6,550) and (10,650)
The slope will be;
(550-450)/(6-2) = 100/4 = 25
So we have the equation partially as;
y = 25x + b
To get b, we can use any of the points
Let’s use (2,450)
Thus, we have
450 = 25(2) + b
b = 450 - 50
b = 450 - 50
b = 400
So the equation is;
y = 25x + 400
Thus;
f(x) = 25x + 400
