25/4 = 6.25 per t-shirt <== unit price
the error that was made is the student put the number of t-shirts over the price, instead of the price over the number of t-shirts.
4/25 = 0.16
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.
To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.
Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.
Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2
Now we can write the equation
f(x) = (1/2)x + 11/2
Plugging in x = 7 we find that f(7) = 9. n = 9
The new ratio of the number of cookies in Jar A to the number of cookies in Jar B in the end is 5 : 19
<h3>How to find ratio</h3>
Ratio of jar A to jar B = 3 : 8
Jar B = 1/2 of A + B
= 1/2 × 3 + 8
= 3/2 + 8
= (3+16) /2
= 19/2
Jar A = 3 - 1/2
= (6-1) /2
= 5/2
New ratio of jar A to jar B = 5/2 : 19/2
= 5/2 ÷ 19/2
= 5/2 × 2/19
= 5/19
= 5 : 19
Learn more about ratio:
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pretty sure the third one
y = 0.75 + 1 → B
increasing at 0.75 in/min , thus 0.75x after x min
The depth is already at 1 in
y = 0.75x + 1 is the equation.