sat suite question viewer

Algebra / Linear inequalities in one or two variables Difficulty: Easy

Monarch butterflies can fly only with a body temperature of at least $55.0 degrees Fahrenheit left parenthesis degree upper F right parenthesis$ . If a monarch butterfly's body temperature is $51.3 degree upper F$ , what is the minimum increase needed in its body temperature, in $° F$ , so that it can fly?

Back question 45 of 73 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73

Explanation

Choice B is correct. It's given that monarch butterflies can fly only with a body temperature of at least $55.0 degrees Fahrenheit left parenthesis degree upper F right parenthesis$ . Let $x$ represent the minimum increase needed in the monarch butterfly's body temperature to fly. If the monarch butterfly's body temperature is $51.3 degree upper F$ , the inequality $51.3 + x \geq 55.0$ represents this situation. Subtracting $51.3$ from both sides of this inequality yields $x greater than or equals 3.7$ . Therefore, if the monarch butterfly's body temperature is $51.3 degree upper F$ , the minimum increase needed in its body temperature, in $° F$ , so that it can fly is $3.7$ .

Choice A is incorrect. This is the minimum increase needed in body temperature if the monarch butterfly's body temperature is $53.7 degree upper F$ , not $51.3 degree upper F$ .

Choice C is incorrect. This is the minimum increase needed in body temperature if the monarch butterfly's body temperature is $50.0 degree upper F$ , not $51.3 degree upper F$ .

Choice D is incorrect. This is the minimum increase needed in body temperature if the monarch butterfly's body temperature is $48.7 degree upper F$ , not $51.3 degree upper F$ .