Respuesta :
Answer:
f(x)=50x+100
a)rate of change is 50
b)y-intercept is 100
c)x represents the no. of weeks
f(x) represents the the total cost for x weeks.
d)f(12)=700
e)Cost and week cannot be negative
Step-by-step explanation:
Sign up fee at daycare = $100
Cost of 1 week = 50
Cost of x weeks = 50 x
So, Total cost = 100+50x
Thus f(x)=50x+100
a)
General equation : y=mx+c
m = slope = rate of change
On comparison
m = 50
So, rate of change is 50
50 is the cost of daycare per week
b)
y intercept : y intercept is a point where a line 's graph intersects (crosses) the Y-axis i.e. x=0
Substitute x = 0 in equation
f(x)=50(0)+100
f(0)=100
So, y-intercept is 100
$100 is a signup fee
c)
x represents the no. of weeks
f(x) represents the the total cost for x weeks.
d)
Substitute x = 12
So, Cost for a baby to attend daycare for 12 weeks:
f(12)=50(12)+100
f(12)=700
e)
f(-3)=50(-3)+100=-50
Here it is asking about negative 3 weeks which is not possible
Since no. of weeks cannot be negative
On solving we are getting the negative total cost
Cost and week cannot be negative
