Respuesta :
Certainly! Let's solve this step by step to determine if Joelle can afford an apartment costing [tex]$850 per month with her current earnings, and if not, how much more she needs to make per week.
### Step 1: Calculate Weekly Earnings
1. Hourly wage: Joelle makes $[/tex]15.25 per hour.
2. Hours per week: Joelle works 40 hours per week.
To calculate her weekly earnings:
[tex]\[ \text{Weekly earnings} = \text{Hourly wage} \times \text{Hours per week} \][/tex]
[tex]\[ \text{Weekly earnings} = 15.25 \times 40 \][/tex]
[tex]\[ \text{Weekly earnings} = 610.0 \][/tex]
So, Joelle earns [tex]$610.0 per week. ### Step 2: Calculate Monthly Earnings Typically, a month is considered approximately 4 weeks. \[ \text{Monthly earnings} = \text{Weekly earnings} \times 4 \] \[ \text{Monthly earnings} = 610.0 \times 4 \] \[ \text{Monthly earnings} = 2440.0 \] So, Joelle earns $[/tex]2440.0 per month.
### Step 3: Compare Monthly Earnings with Rent
Joelle needs to afford a monthly rent of [tex]$850. ### Monthly earnings: \[ 2440.0 \] ### Monthly rent: \[ 850 \] We see that Joelle's monthly earnings ($[/tex]2440.0) are greater than the apartment's rent ([tex]$850). ### Conclusion Joelle can indeed afford the apartment, as her earnings are more than adequate to cover the monthly rent. She does not need to make any additional weekly income. ### Summary - Weekly earnings: $[/tex]610.0
- Monthly earnings: [tex]$2440.0 - Can afford apartment: Yes - Additional weekly income needed: $[/tex]0
2. Hours per week: Joelle works 40 hours per week.
To calculate her weekly earnings:
[tex]\[ \text{Weekly earnings} = \text{Hourly wage} \times \text{Hours per week} \][/tex]
[tex]\[ \text{Weekly earnings} = 15.25 \times 40 \][/tex]
[tex]\[ \text{Weekly earnings} = 610.0 \][/tex]
So, Joelle earns [tex]$610.0 per week. ### Step 2: Calculate Monthly Earnings Typically, a month is considered approximately 4 weeks. \[ \text{Monthly earnings} = \text{Weekly earnings} \times 4 \] \[ \text{Monthly earnings} = 610.0 \times 4 \] \[ \text{Monthly earnings} = 2440.0 \] So, Joelle earns $[/tex]2440.0 per month.
### Step 3: Compare Monthly Earnings with Rent
Joelle needs to afford a monthly rent of [tex]$850. ### Monthly earnings: \[ 2440.0 \] ### Monthly rent: \[ 850 \] We see that Joelle's monthly earnings ($[/tex]2440.0) are greater than the apartment's rent ([tex]$850). ### Conclusion Joelle can indeed afford the apartment, as her earnings are more than adequate to cover the monthly rent. She does not need to make any additional weekly income. ### Summary - Weekly earnings: $[/tex]610.0
- Monthly earnings: [tex]$2440.0 - Can afford apartment: Yes - Additional weekly income needed: $[/tex]0