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The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equation to find the cost of the two models. If c represents the cost of the Jupiter television, which of the following would be true when verifying the solution of the equation? Check all that apply.
Sandra substitutes c=925 into the equation c-(c+750)
=2600
Sandra substitutes c=925 into the equation c+(c-750)=2600
Sandra finds a true statement after substituting 925 into the equation.
Sandra finds a false statement after substituting 925 into the equation.
When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600.
When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.

Answer :

kudzordzifrancis

Answer:

  • Sandra finds a true statement after substituting 925 into the equation.
  • When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600.
  • When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.

Step-by-step explanation:

We have that the Star television costs $750 more than the Jupiter television.

If c represents the cost of the Jupiter television, then the star television is [tex]s=c+750[/tex]

This implies that:

[tex]s-c=750[/tex]---->eqn1

The two models cost $2,600 all together. This means that:

[tex]s+c=2600[/tex]---->eqn2

Subtracting eqn1 from eqn2 gives:

[tex]2c=1850\\\implies c=925[/tex]

When Sandra substitutes c=925 into the equation she gets c+(c-750)=2600

This is not  a true statement, because she must rather get:

Then the cost of the Jupiter television becomes

925 +750=1675

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