10 MILEAGE OF PETER'S CAR
160
140
Miles Traveled
8 8 8 8 8 8 8 8
60
1 2 3 4 5 6 7 8 9 10
Gallons of Gas
The graph shows the number of miles Peter's car traveled and the gallons of gas used.
Which equation can be used to find the distance in miles, d, that the car can travel on g
gallons of gas? *
(5 Points)
d = 169
d = 309
d=249
d=129

Step-by-step explanation:

The graph shows a proportional relationship between distance travelled in miles and the gallons of gas used. Thus, a simple equation can be written to represent this relationship by simply applying the the equation that describes a proportional relationship.

Equation representing a typical proportional relationship is y = kx, where k is the constant of proportionality.

In this case,

y = distance in miles travelled represented by d

x = gallons of gas used represented by g

k = constant of proportionality which is distance travelled per gallon = . (note: to get k, you can use any coordinate pair of a point in the line graph).

Therefore, an equation that can be used to find the distance travelled is:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?