Question

6. Mishell bought some sugar and strawberries to make strawberry jam.Sugar costs $1.80 per pound, and strawberries cost $2.50 per pound.Mishell spent a total of $19.40. Which point on the coordinate plane couldrepresent the pounds of sugar and strawberries that Mishell used to makejam?*

Answer 1

Okay, here we have this:

We obtain the following equation.

Let's take x as pounds of sugar, and y as pound of strawberries:

x(Sugar Costs)+y(Strawberries cost)=Total Cost

x(1.80)+y(2.50)=19.40

We are going to replace the coordinates of each point to see which one satisfies the total cost:

Point A (0,0):

x(1.80)+y(2.50)=19.40

0(1.80)+0(2.50)=19.40

0+0=19.40

0=19.40 (We can see that this equality is false, therefore the option is incorrect)

Point B (8,2):

x(1.80)+y(2.50)=19.40

8(1.80)+2(2.50)=19.40

14.4+5=19.40

19.40=19.40 (This equality is true, therefore this option may be correct, however let's analyze the rest)

Point C (6,1)

x(1.80)+y(2.50)=19.40

6(1.80)+1(2.50)=19.40

10.8+2.5=19.4

13.3=19.4 (We can see that this equality is false, therefore the option is incorrect)

Point D (7, 5)

x(1.80)+y(2.50)=19.40

7(1.80)+5(2.50)=19.40

12.6+12.5=19.40

25.1=19.4 (We can see that this equality is false, therefore the option is incorrect)

Finally we obtain that the correct answer is the Point B.