performance task
making a fruit bowl
bill has 5 apples and 5 bananas.
he can put only 5 pieces of fruit in
a bowl.

he starts a table to show all the
ways he can put fruit in the bowl.

5. look for patterns
write the missing numbers in the table.
how do you know your answers are
correct?
the sum of 5 is 5.
same meach row of the table.
1. reasoning
will the number of bananas be greater or
less as you move down the table?
how do you know?

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

answer: check all that apply, where the options?

step-by-step explanation:

a - base

b - exponent

so,