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A frozen yogurt shop charges $4.00 for a bowl of yogurt and an additional $0.25 per topping. If y is the price of your yogurt with toppings and x is the number of toppings, what is the value of y-intercept of the line representing this situation?

User Ntd
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1 Answer

4 votes

Answer:

4 ($4.00)

Explanation:

Before finding the y-intercept of the line, we should first find an equation that represents the equation.

Total Price = Price of a Bowl of Yogurt + Price for Each additional topping.

The question tells us that total price should be represented as y and number of toppings be represented as x.

y = Price of a Bowl of Yogurt + 0.25x

We also know the price of a bowl of yogurt is $4, which means our equation is:

y = 4 + 0.25x

Notice how this equation is very similar to the slope-intercept form of a line.

y = mx + b

y = 0.25x + 4

Using these similarities, we can figure out the y-intercept of the line. In slope-intercept form, "b" represents the y-intercept. The similar term in our frozen yogurt equation is "4". This means the value of the y-intercept of the line representing this situation is 4.

User Xke
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