charlize29
contestada

a public parking garage charges $5 plus and additional $2 per hour
what’s an equation for the line in slope intercept form

Respuesta :

Greece784
Okay so slope intercept form is y=mx+b
Where b is the y intercept, m is the slope and x is the changing variable. So in this case let x represent the number of hours and m equal the cost per hour $2. That leaves $5 as the y intercept. So your equation is y=2x+5
JeanaShupp

Answer: [tex]y=2x+5[/tex]    

Step-by-step explanation:

Let x denotes the number of hours.

Given : A public parking garage charges $5 plus and additional $2 per hour.

i.e.  Fixed Charge = $5

Rate per hour = $2

Now, the Total charge = Rate per hour x No. of hours +Fixed Charge

[tex]=2x+5[/tex]  (dollars)

Let y denotes the total charge.

Then, the equation becomes :

[tex]y=2x+5[/tex]             (1)

Equation of a line in slope-intercept form : [tex]y=mx+c[/tex]           (2)

, where m= slope (rate of change of y w.r.t x)

and c= y-intercept (Initial value)

When we compare equation (1) to  equation (2), we see that equation (1) is in slope-intercept form.

Thus, the required equation for the line in slope intercept form :

[tex]y=2x+5[/tex]  

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