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AleksAgata [21]
3 years ago
5

Solve the question on the picture if it is wrong

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Given:

Cost of 1 digital song = $1.05

Cost of 2 digital song = $2.10

Cost of 5 digital song = $5.25

To find:

The equation and the cost of 25 downloaded digital songs.

Solution:

Let us take two points (1, 1.05) and (2, 2.10).

Here x_1=1, y_1=1.05, x_2=2, y_2=2.10

Slope:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{2.10-1.05}{2-1}

m = 1.05

Using point-slope formula:

y-y_1=m(x-x_1)

y-1.05=1.05(x-1)

y-1.05=1.05x-1.05

Add 1.05 on both sides, we get

y=1.05x

Here x is the independent variable and c is the dependent variable.

So that substitute x = n and y = c.

c=1.05n

The equation is c = 1.05 n.

Substitute n = 25 in the equation.

c=1.05(25)

c=26.25

The cost of 25 songs is $26.25.

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