Question

The cost of joining a new music startup company is $7.95 plus $0.95 per downloaded song. If Will spent $26, write a linear equation to find how many songs he downloaded. How many songs can Will buy?

A) Equation: 0.95x+7.95=26 Songs: 20
B) Equation: 0.95x+7.95=26; Songs: 21
C) Equation: 0.95x+7.95=26; Songs: 22
D) Equation: 0.95x+7.95=26; Songs: 23

Answer 1

The linear equation to determine the number of songs Will downloaded is 0.95x + 7.95 = 26, and by solving for x, it's determined that he can buy 19 songs. The provided options do not include the correct calculation.

Step-by-step explanation:

The linear equation to find how many songs Will downloaded from the music startup company is based on the cost of joining, which is a flat fee of $7.95, plus $0.95 for each song downloaded. If Will spent a total of $26, the equation representing this situation is:

0.95x + 7.95 = 26

To find the number of songs downloaded, solve for x:

1. Subtract 7.95 from both sides of the equation to isolate the variable term:
   0.95x = 26 - 7.95
2. Calculate the right-hand side:
   0.95x = 18.05
3. Divide both sides by 0.95 to solve for x:
   x = 18.05 / 0.95
4. Calculate the result:
   x = 19

Therefore, Will can buy 19 songs. However, none of the options provided match this correct calculation, indicating a potential error in the question or answer choices.