Caitlyn is going away to college and will need to rent a truck to help move. The cost of the truck is 35 plus 0.79 per mile. If her college is 85 miles away and she budgeted 100 for rental, she will have enough money?

She will not have enough money. She is $2.15 short.

Step-by-step explanation:

Giving the following information:

The cost of the truck is 35 plus 0.79 per mile.

First, we need to structure the total cost formula:

Total cost= 35 + 0.79x

x= number of miles

Now, we calculate the total cost for 85 miles:

Total cost= 35 + 0.79*85

Total cost= $102.15

She will not have enough money. She is $2.15 short.

(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