The math team sells crunchy and fruity trail mixes to raise money. the ratio of fruit to nuts in each mix and the price they charge for an 8-oz (or 1/2-cup) bag of each mix are given in the table below. [hint: the ratio of fruit to nuts in the crunchy trail mix is 1: 3. so, 1/4 of each bag is fruit and 3/4 of each bag is nuts.] ratio of fruit to nuts price of an 8-oz (or 1/2 cup) bag crunchy trail mix 1: 3 $2.50 fruity trail mix 5: 3 $3.50 they have 30 cups of fruit and 50 cups of nuts to use in their trail mixes. so, they need to know how many bags of each type of mix they should they make. they let c represent the number of bags of crunchy trail mix and f represent the number of bags of fruity trail mix. which set of inequalities below represents the conditions? a. 1c + 3 f ≤ 30 5c + 3 f ≤ 50 c ≥ 0, f ≥ 0 b. 1c + 5 f ≤ 60 3c + 3 f ≤ 100 c ≥ 0, f ≥ 0 c. 0.25c + 0.625f ≤ 60 0.75c + 0.375f ≤ 100 c ≥ 0, f ≥ 0 d. 0.25c + 0.625f ≤ 30 0.75c + 0.375f ≤ 50 c ≥ 0, f ≥ 0

1.3.4 practice : modeling: solving linear equations in this assignment, you may work alone, with a partner, or in a small group. discuss the results of your work and/or any lingering questions with your teacher. your assignment: road trip you're taking a scenic road trip down ca-highway 1 from san jose, california, to los angeles. you plan to split the drive into two days, stopping for one night. choose one town to stop in, and find the driving distance for the second day. 1. circle the town you chose to stop in. (1 point) santa barbara: an image of palm trees san luis obispo: an image of a church 2. why did you choose this town? (1 point) 3.what do you know? .what do you want to find out? .what kind of answer do you expect? define the variable. 4. what is the variable x for this problem? (1 point) write the equation. 5. write an equation showing that the distance traveled on the first day plus the distance traveled on the second day is equal to 425 miles. (4 points: 2 points for each side of the equation) isolate the variable. 6. what inverse operation do you need to perform on both sides to isolate x in the equation? (2 points: 1 point for the correct number, 1 point for the correct operation) solve the equation. 7. solve the equation for x. interpret the answer in terms of the problem. (2 points: 1 point for the solution, 1 point for the interpretation) check your solution. 8. to confirm that your answer is correct, add the two days' distances. this should equal the total distance from san jose to los angeles. show your work as an equation. (3 points: 1 point for the setup, 2 points for the correct answer)