To find the value of x for this situation, we need to set up and solve the equation based on the given information.
From the problem, we know that the area of the table is 8 ft^2. The dimensions of the table are 2 ft by x+3 ft. The formula for finding the area of a rectangle is length times width.
So, we can set up the equation as follows: (2 ft)(x+3 ft) = 8 ft^2.
Simplifying the left side of the equation, we get: 2x + 6 = 8.
To solve for x, we can subtract 6 from both sides of the equation: 2x = 2.
Finally, dividing both sides by 2, we find that x = 1.
Therefore, the correct answer is C: x = 1.
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Question 1
PART A
The top of a table has dimensions 2 ft
by x+3 ft
and has an area of 8 ft2
.
Which of the following equations can be used to find the value of x
for this situation?
Responses
A 2x+3=8
2 x plus 3 is equal to 8
B 2(x+3)=8
2 times open paren x plus 3 close paren is equal to 8
C 2x+5=8
2 x plus 5 is equal to 8
D 2(2x+3)=8
2 times open paren 2 x plus 3 close paren is equal to 8
Question 2
PART B
Solve the equation for x
.
x=
Responses
A 0.5
0 point 5
B 2.5
2 point 5
C 1
1
D 1.5
1 answer
1 answer