Question

Algebra 1 questions. Help

Answer 1

Alexander needs to work approximately 2,569.44 hours to earn a salary of $46,250. This information allows him to compare two job offers and make an informed decision based on total earnings.

To solve the system of equations using substitution, we substitute the expression for s from the first equation into the second equation:

1. Start with the system of equations:

`\[ s = 18h + 750 \] \[ s = 47,000 \]`

2. Substitute the expression for s from the first equation into the second equation:

`\[ 18h + 750 = 47,000 \]`

3. Now, solve for h:

`\[ 18h = 47,000 - 750 \] \[ 18h = 46,250 \] \[ h = (46,250)/(18) \]`

4. Calculate the value of h:

`\[ h \approx 2,569.44 \]`

Now that we have the value of h, we can substitute it back into either of the original equations to find the corresponding salary (s). Let's use the first equation:

`\[ s = 18h + 750 \]\[ s = 18(2,569.44) + 750 \]\[ s \approx 46,250 \]`

So, the solution to the system of equations is h
`\approx` 2,569.44 hours and s
`\approx` 46,250 dollars.

Interpretation:

Alexander will need to work approximately 2,569.44 hours to earn a salary of $46,250. This solution allows him to compare the two job offers and make an informed decision based on the total earnings for each option.