Carolina está cortando gramados como trabalho de verão. Para cada trabalho que ela consegue, ela cobra úma taxa inicial mais 6 por hora de trabalho. Sua taxa total para um trabalho de 4horas, por exemplo, é de 32 Considere ya taxa de Carolina (em reais) por um único trabalho que levou zhoras para ser concluído. Complete a equação da relação entre a taxa e o número de horas. y=

## Step 1: Identify the relationship### The problem describes a linear relationship between the total fee Carolina charges ( ) and the number of hours she works ( ). This relationship can be represented by a linear equation in the form , where is the slope (or the rate of change) and is the y-intercept (or the initial fee).## Step 2: Determine the slope### From the problem, we know that Carolina charges \ .## Step 3: Calculate the y-intercept### We also know that for a 4-hour job, Carolina charges \$32. We can use this information to find the initial fee, or the y-intercept . We substitute , , and into the equation and solve for : ## Step 4: Formulate the equation### Therefore, the equation that represents the relationship between the total fee and the number of hours is: