Answer:
- Grayson had 10 inches of snow in his lawn
- the snow falls at a constant rate of 0.5 inches per hour
- no snow was melting
- the snow has fallen for 3 hours
Let y be the height of the snow in the lawn
Grayson had 10 inches at the beginning (at t=0) so y= 10
3 hours passed so y= 10 + 3*0.5 = 11.5 inches
Grayson had 11.5 inches after three hours
Assuming that the snow continued to fall for an unkhown time t
y = 0.5*t + 10
we had 10 at the beginning so we add 10 (+10)
the snow is growing by 0.5 inches in the single hour so we multiply by 0.5
t is the time and it can 4, 5, 6 ...... hours
Just like a function :
- 0.5 is the slope
- t is the variable
- 10 is the y-intercept
Answer: B
Step-by-step explanation:
Intersection of the 2 parts of the function is (0,0):
==> not A
the second part of the function is an half-line (and x =0)
Answer B
Answer:
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Step-by-step explanation:
Step one:
given data
total lunch items= 5
let hot dogs be h
and cookies be c
cost of hot dogs = $1.10
cost of cookies = $0.75
total cost = $4.55
Step two:
The linear model for the total cost is given as
4.55=1.1h+0.75c---------------1
and the model for the number of items is
h+c=5--------------2
The systems of the equation for the situation is
1.1h+0.75c=4.55---------------1
h+c=5--------------2
Answer:
Step-by-step explanation:
The directrix y=-6 is parallel to the x axes, so parabola has equation of the form
where 
is the vertex of parabola and p is parabola's parameter.
By the definition, 
is the distance from the vertex to the directrix, so
Hence, the equation of parabola is
See attached diagram for the graph of parabola and its directrix.
In vertex form this equation is
