Question

A music app charges $2 to download the app plus $1.29 per song downloaded wright and solve a linear equation to find the total cost to download 30 songs

Answer 1

The linear equation used to solve the problem is t = 2 + 1.29a and total cost to download 30 songs is $ 40.7

Solution:

Given that music app charges $2 to download the app plus $1.29 per song downloaded

To find: write and solve a linear equation to find the total cost to download 30 songs

Let us first write a expression for total cost

Let "a" be the number of songs downloaded

So we can frame a equation as:

total cost = initial charge + cost of 1 song download x number of songs downloaded

$total cost = 2 + 1.29 \times a$

total cost = 2 + 1.29a

If "t" represents the total cost, then the linear equation is:

t = 2 + 1.29a

finding the total cost to download 30 songs:

Here a = 30

Substitute a = 30 in above formula

total cost = 2 + 1.29(30)

total cost = 2 + 38.7

total cost = 40.7

Thus total cost to download 30 songs is $ 40.7