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Kruka [31]
2 years ago
8

FroYo Express charges $5.75 for a large cup of frozen yogurt and $0.25 for each topping. The Big Chill charges $2.75 for a large

cup of frozen yogurt and $1.25 for each topping.
The graph represents the relationship between the number of toppings, x, and the total cost of a large cup of frozen yogurt, y, at the two stores.
For what total cost are the number of toppings the same at both stores?
Mathematics
1 answer:
aksik [14]2 years ago
7 0

Answer:

3 toppings for a total of $6.50

Step-by-step explanation:

Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...

F = 5.75 + 0.25x

B = 2.75 + 1.25x

Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...

5.75 + 0.25x = 2.75 + 1.25x  ... subtract 2.75 and 0.25x on both sides

3 = 1x ... divide both sides by 1

3 = x

Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50

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Dominik [7]

the system has no solution.

Option C is correct.

Step-by-step explanation:

We need to solve the system of equations by substitution

x - y = 6\,\,\,eq(1)\\x = y + 2\,\,\,eq(2)

Putting value of x from eq(2) into eq(1)

(y+2)-y=6\\y+2-y=6\\0+2=6\\0=6-2\\0\neq4

As as 0≠4is not true, we cannot find the value of y so the system has no solution.

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/7490805
  • brainly.com/question/9045597
  • brainly.com/question/13168205

#learnwithBrainly

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Step-by-step explanation:

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PIT_PIT [208]

Answer:

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Step-by-step explanation:

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