Question

Use a table to find the solution to the situation.Yuma needs a singer. Singer A is offering her services for an initial $75 in addition to $25 per hour. SingerB is offering his services for an initial $105 in addition to $15 per hour. When will the two singers chargethe same amount of money?The two singers will charge the same amount of money afterhours.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Singer A

initial = $75

addition per hour = $25

Singer B

initial = $105

addition per hour = $15

Step 02:

We must write the equations for each of the singers.

Singer A

y = 25x + 75

y = total money

x = hours

Singer B

y = 15x + 105

y = total money

x = hours

Step 03:

We must use a table and check how much they earn per hour.

So we can calculate several values to fill the table.

Hour 1

Singer A Singer B

y = 25(1) + 75 y = 15(1) + 105

y = 100 y = 120

Hour 1.5

Singer A Singer B

y = 25(1.5) + 75 y = 15(1.5) + 105

y = 112.5 y = 127.5

Hour 2

Singer A Singer B

y = 25(2) + 75 y = 15(2) + 105

y = 125 y = 135

Money Singer A = Money Singer B

25x + 75 = 15x + 105

25x - 15x = 105 - 75

10x = 30

x = 30 / 10

x = 3

The answer is:

After 3 hours both singers would have the same amount of money.