Christopher has $15 in his savings account. he wants to buy a guitar. he plans to save $10 a week. prices for guitars at the music shoppe start at $130. which number line shows how long christopher will have to save to buy a guitar from the music shoppe?

So, I have this equation: 15+10x greater or equal 130, and then we just simply it to have this inequality which is x greater than or equal to 15 weeks. Finally, draw a number that has number 15 on it, next just put a close circle on it, with the arrow that moved to the right side. Hope you get it.

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ap8997154 ap8997154 · Answer 2 · 2022-08-01T10:51:48+02:00

The inequality of the line that represents how long Christopher will have to save to buy a guitar from the music shoppe is $130 ≤ $15 + $10n, and it can be represented as shown below.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Christopher has $15 in his savings account. He plans to save $10 a week. Therefore, the expression that can represent Christopher's saving in 'n' number of weeks is,

Saving in 'n' weeks = $15 + $10n

Now, since Christoper needs to save for his guitar and the cost of a guitar is $130. Therefore, the number of weeks it will take for Christopher to save this amount is,

$130 ≤ $15 + $10n

130 ≤ 15 + 10n

130 - 15 ≤ 10n

115 ≤ 10n

n ≥ 11.5

The inequality of the line that represents how long Christopher will have to save to buy a guitar from the music shoppe is $130 ≤ $15 + $10n, and it can be represented as shown below.

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