Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. the taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. when the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. with every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. the owner can calculate the daily revenue using the polynomial expression -7x^2+32x+240, where x is the number of $1 increases in the taco price. in this activity, you’ll interpret and manipulate this expression and the scenario it represents.
complete the table for different values of x in the polynomial expression -7x^2+32x+240. then, determine the optimal price that the taco truck should sell it’s tacos for. assume whole dollar amounts for the tacos.

The isosceles triangle has two sides of equal length, a, that sre longer than the length of the base ,b. the equation 2a+b=15.7 can be used to find the sides length. if one of the longer sides is 6.3 centimeters what is the length of the base

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. increase the area of the base of the square pyramid by a factor of ten. increase the height of the cylinder by a factor of ten. increase the radius of the cone by a factor of ten. increase the radius of a sphere by a factor of ten. juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a cube with a side length of 12 feet a cone with a diameter of 12 feet and a height of 10 feet a square pyramid with a base side length of 12 feet and a height of 9 feet a hemisphere with a diameter of 12 feet marion has a bicycle that she is planning to take for a ride. the rim of the rear wheel lies 41 cm from the center of the wheel. the tire itself has a thickness of 3 cm.in order to marion to ride her bicycle 96,712 cm, approximately how many rotations will the rear wheel make? 350 15.9 376 5133 an isosceles trapezoid has perimeter of 42 inches. each of the congruent nonparallel sides is 5 inches long, and the trapezoid is 3 inches tall. how long are the two parallel sides? 10 inches and 16 inches 12 inches and 20 inches 16 inches and 16 inches 10 inches and 22 inches

Finding tbe values of the variables in each kite