Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. he calculates that he drove 95.7 miles. he knows the answer should be near 80, because is 80. which best explains sebastian’s actual solution? the actual product is reasonable because it is near 80 but greater than 80. both factors were rounded down, making the estimate lower than the actual product. the actual product is unreasonable. it should be near 80 but less than 80 because both factors were rounded down. the actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal. the actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.

Peaches cost $4.29 per pound. find the cost of two and a quarter pounds of peaches.

Quadrilateral abcd in the figure below represents a scaled-down model of a walkway around a historic site. quadrilateral efgh represents the actual walkway. abcd is similar to efgh. what is the total length, in feet of the actual walkway?

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).