A store is having a sale on jellybeans and trail mix. For 8 pounds of jellybeans and 3 pounds of trail mix the total cost $34. For 2 pounds of jellybeans and 5 pounds of trail mix the total cost is $17. Find the cost of each pound of jellybeans and each pound of trail mix.

Cost of jellybeans = x = $3.5

Cost of trail mix = y = $2

Step-by-step explanation:

Let

Cost of jellybeans = x

Cost of trail mix = y

8x + 3y = 34 (1)

2x + 5y = 17 (2)

Multiply (1) by 5 and (2) by 3

40x + 15y = 170 (3)

6x + 15y = 51 (4)

Subtract (4) from (3)

40x - 6x = 170 - 51

34x = 119

x = 119/34

x = 3.5

Substitute x = 3.5 into (1)

8x + 3y = 34

8(3.5) + 3y = 34

28 + 3y = 34

3y = 34 - 28

3y = 6

y = 6/3

y = 2

Cost of jellybeans = x = $3.5

Cost of trail mix = y = $2

my guess would be b and d, but i didn’t actually get out the pen and paper. lol

answer-

a. the total cost of a taxi ride includes an initial charge of approximately $3.30

solution-

in the graph,

x axis represents the distance traveled and

y axis represents the total fare

the best fit line intersects the y axis approximately at 3.30 or y-intercept is 3.30. at x=0, i.e when the taxi is still, the value of y or the cost of the fare is 3.30. that means $3.30 is the fixed charge which will be levied along with the other fare.

the slope of the line represent the cost per mile. as the best fit line is straight line, so the price per mile is constant.