Question

On a hypothetical scale A, the ice point is 42°, and the steam point is 182°. On another scale B, the ice point is -10°, and the steam point is 90°. If B reads 60°, what is the reading on scale A? A. 82° B. 72° C. 132° D. 152°

Answer 1

To convert a reading of 60° on scale B to the equivalent reading on scale A, we first establish the relationship between the scales. This results in the understanding that 1° on scale B is equivalent to 1.4° on scale A. Applying this conversion results in a reading of 140° on scale A.

Step-by-step explanation:

To determine the reading on scale A when scale B reads 60°, we need to establish a relationship between the two scales. First, let's realize that the difference from the ice point to the steam point on scale A is 182° - 42° = 140°. On scale B it is 90° - (-10°) = 100°. So one degree on scale B is equivalent to 1.4 degrees on scale A (140°/100°).

Then, to find the equivalent temperature on scale A when scale B reads 60°, we notice that scale B is 70° above its ice point (60° - (-10°)). So, the reading on scale A should also be 70 degrees above its own ice point, but we must recall each degree on scale B is 1.4 degrees on scale A. Multiply 70 by 1.4 to get 98. Therefore, the reading on scale A when scale B is 60° is 42° (ice point on scale A) + 98 = 140°.

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