The graph shows the distance cars a and b travel. which statement is true about the unit rates shown in the graph? (a) the unit rate for car b is greater because the slope is greater than the slope for car a (b) the unit rate for car a is greater because the slope is less than the slope for car b (c) the unit rate for car a is greater because the slope is greater than the slope for car b (d) the unit rate for car b is greater because the slope is less than the slope for car a

(a) The unit rate for car B is greater because the slope is greater than the slope for car A.

Step-by-step explanation:

We have been given a graph that represents the distance cars A and B travel. We are asked to choose the correct option about our given graphs.

Since slope represents the change in y-value with respect to change in per unit x value, so slope is also unit rate of the graph.

Let us find the slope of car A using points (8,5) and (0,0).

Let us find the slope of car B using points (5,8) and (0,0).

We can see that slope of car B is greater than slope of car A, therefore, option A is the correct choice.

146%

step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.