Rebecca must complete 15 hours of volunteer work. She does 3 hours each day. Write a linear equation in slope-intercept form to represent the hours Rebecca still has to work after x days.

Respuesta :

Answer:

y = 15 hour - 3 hours/day x days

y = 15 - 3x

y-intercept = 15 - 3(0)= 15 which is the amount of volunteer hours she must complete at day 0.

0 = 15 - 3x

3x = 15

x = 5 (Number of days she would have to volunteer)

Equation: y = 15- 3x

Step-by-step explanation:

Using slope intercept form, The number of days that the Rebecca should volunteer is 5 days.

What is slope intercept form?

The "equation of the straight line is y = mx +c this form is called slope intercept form".

According to the question,

Rebecca must complete 15 hours of volunteer work. She does 3 hours each day.

The linear equation is in slope intercept form is y = mx + c, where 'm' is the slope straight line and 'c' is y-intercept.

y = 15 hours - 3 hours/day x days

y = 15 - 3x        →(1)

To find y-intercept put x=0 in equation (1) we have,  

y = 15 - 3(0)

  = 15

y = 15 which is the amount of volunteer hours Rebecca must complete at day 0.

0 = 15 - 3x

3x = 15

x = 5                    [Number of days Rebecca would have to volunteer]

Hence, using slope intercept form, The number of days that the Rebecca should volunteer is 5 days.

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