A dump truck weighs 11.2511.25 tons when empty. A conveyor belt pours sand into the truck at a constant rate of \frac{1}{4} 4
1
​
ton per minute until it is full.

Let tt represent the elapsed time in minutes. Let ww represent the weight of the truck after tt minutes.
​Write an equation for ww in terms of tt.

​Enter your equation in the box provided. Enter only your equation.

​

w=w=
1
$$

​

​Part B

The dump truck from Part A weighs 1818 tons when filled. At the same time the dump truck is being filled, an identical dump truck filled to capacity is being emptied at a rate of \frac{1}{8}
8
1
​
ton per minute.

How much sand is in each dump truck when the trucks are the same weight?

​Enter your answer in the box.

​

Step-by-step explanation:

A. For this case, the first thing we must do is define variables.

We have then:

t: time in minutes

The linear equation that represents the problem is given by:

w (t) = (1/4) t + 11.25

An equation for W in terms if T is:

w (t) = (1/4) t + 11.25

B. 2 .25 Tons

Step-by-step explanation:

Weight of truck + sand when filled= 18 tons

Discharge rate per minute= 1/8 tons/ minute

Quantity of sand in the truck will be:

1/8tons per minute×18tons = 9/4 = 2.25tons

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24