Alexandra paid \$7$7dollar sign, 7 to park her car for 333 hours at the parking garage. The garage charges an hourly parking rate. Write an equation that shows the relationship between the number of hours parked (p)(p)left parenthesis, p, right parenthesis and the cost in dollars (
c.(
c.left parenthesis, c, right parenthesis.

Respuesta :

Assuming that the fee is purely based on duration, the equation would look like this:
c= a*p
where c= cost, a= rates per hour, p= hours of parking

Alexandra pays 7$ for 3 hours parking. So, a would be:
c= a*p
7$= a * 3 hr
a= 7$/3hr

Then the final equation would be: 
c= (7/3) *p

Answer:

c=7/3p

Step-by-step explanation:

Let's find the constant of proportionality.

in the proportional relationship between p, the number of hours parked, and c, the cost in dollars, one constant of proportionality is the cost per hour. It is the number we multiply by the number of hours to get the total cost.

p×?=c

px?=c

?= [tex]c/p[/tex]

= 7/3

the constant of proportionality is 7/3 this means we can multiply 7/3 by the numbers of hours to get the total cost

Now, let's write the equation: total cost

total cost=cost per hour×number of hours  

[tex]c=7/3p[/tex]