Some scientists believe that the average surface temperature of the world has been rising steadily. They have modeled the temperature by the linear function T=0.02t + 8.45, where T is temperature in C and t represents years since 1900.

Missing Part:

What do the slope and T-intercept represent?

The slope is 0.02 and the t intercept is 8.45

Step-by-step explanation:

Given

Required

Determine the slope and the t-intercept

The general form of a function is;

Where m represents the slope and b, the intercept;

By comparing directly to

Hence;

The slope is 0.02 and the t intercept is 8.45

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step-by-step explanation:

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:

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