Question

Ben is eating some pretzels and an entire small package of mustard as a snack. Based on

the graph below, which equation represents the relationship between the number of pretzels
that Ben eats, x, and the total amount of sodium in his snack, y?
Sodium in Ben's Snack
y = 652 + 80
-
y = 80.+ 65
y = 65.0 + 15
y = 150 + 65

Answer 1

y = 15x + 65

Explanation:

To find the equation, we can use two points in the graph to find the parameters 'a' and 'b' in the equation:

y = ax + b

For the value x = 1, we have y = 80

For the value x = 9, we have y = 200

So we have that:

80 = a*1 + b

200 = a*9 + b

Making the second equation minus the first one, we have:

8a = 120

a = 15

Now we can find 'b':

80 = 15 + b

b = 65

So the equation is y = 15x + 65