Gina made tables of values to solve a system of equations. First, she found that the x-value of the solution was between 0 and 1, and then she found that
it was between 0.5 and 1. Next, she made this table.
y = 4x-1
y=-3x+ 5
0.5
1
3.5
0.6
1.4
3.2
0.7
1.8
2.9
0.8
2.2
2.6
0.9
2.6
2.3
1.0
3
2.
Which ordered pair is the best approximation of the exact solution?

Hunter designs two flags for his adventure club. what is the length of the base, x, of the larger flag? enter your answer, as a decimal, in the box.

The data shown in the table below represents the weight, in pounds, of a little girl, recorded each year on her birthday. age (in years) weight (in pounds) 2 32 6 47 7 51 4 40 5 43 3 38 8 60 1 23 part a: create a scatter plot to represent the data shown above. sketch the line of best fit. label at least three specific points on the graph that the line passes through. also include the correct labels on the x-axis and y-axis. part b: algebraically write the equation of the best fit line in slope-intercept form. include all of your calculations in your final answer. part c: use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.