Isaac is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $45 for the rental plus $2.50 per mile driven. Let A represent the amount Company A would charge if Isaac drives x miles, and let B represent the amount Company B would charge if Isaac drives x miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B.

Atriangular bandana has an area of 46 square inches. the height of the triangle is 5 3 4 inches. enter and solve an equation to find the length of the base of the triangle. use b to represent the length of the base.

Eight people were asked what the balance of their savings account at the beginning of the month was and how much it increased or decreased by the end of the month. create a scatter plot that represents the data that is shown in the table. the x-axis represents the beginning balance in thousands of dollars and the y-axis represents the change in the savings account in hundreds of dollars. name beginning balance (in thousands of dollars) change in savings account (in hundreds of dollars) jimmy 5 3 kendra 4 7 carlos 5 4 yolanda 3 1 shawn 2 5 laura 3 2 andy 5 6 georgia 4 3

Miguel’s teacher asks him to color 4/8 of his grid. he must use 3 colors: red, blue, and green. there must be more green sections than red sections. how can miguel color all the sections of his grid to follow all the rules