At a farmer’s market, khalid bought 4 pounds of tomatoes and 7 pounds of broccoli for $28. genevieve bought 5 pounds of tomatoes and 2 pounds of broccoli for $28.50. let t represent the cost of one pound of tomatoes. let b represent the cost of one pound of broccoli. which system of equations will solve for t and b?

The system of equations is equal to

Step-by-step explanation:

Let

t------> the cost of one pound of tomatoes

b-----> the cost of one pound of broccoli

we know that

-----> equation A

-----> equation B

using a graphing tool

The solution of the system of equations is equal to the intersection point both graphs

The intersection point is

see the attached figure

therefore

----> the cost of one pound of tomatoes

----> the cost of one pound of broccoli

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.