Question

I need answer ASAP please, please no unnecessary answers I need the answer please.

1) Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

2) Audrey has a points card for a movie theater.
She receives 85 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 265 points for a free movie ticket.

Write and solve an inequality which can be used to determine xx, the number of visits Audrey can make to earn her first free movie ticket.

Answer 1

SOLUTION

TO DETERMINE

1) Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497.

Write and solve an equation which can be used to determine x. , the cost of the labor per hour.

2) Audrey has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 265 points for a free movie ticket.

Write and solve an inequality which can be used to determine x. , the number of visits Audrey can make to earn her first free movie ticket.

EVALUATION

ANSWER TO QUESTION : 1

Here it is given that x is the cost of the labor per hour.

Now the technician at the store worked on the computer for 4 hours

Total labour charge = $ 4x

The technician charged her $ 77 for parts

So the required equation is

4x + 77 = 497

We now solve for x as below

4x + 77 = 497

⇒ 4x = 420

⇒ x = 105

The cost of the labor per hour = $ 105

ANSWER TO QUESTION : 2

Herr x is the number of visits Audrey can make to earn her first free movie ticket.

Now Audrey 85 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

So total points received = 85 + 12.5x

So the required inequality is

$\sf{85 + 12.5x \geqslant 265}$

We now solve for x as below

$\sf{85 + 12.5x \geqslant 265}$

$\sf{ \implies \: 12.5x \geqslant 180}$

$\sf{ \implies \: x \geqslant 14.4}$

Hence minimum number of visits = 15

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