Question

"A sundae with 1 topping is $0. 99, with 4 toppings is $1. 74, and with 7 toppings is $2. 49.

Which equation represents the cost of the sundae, c, given number of toppings, t?

A. C= 0. 25t + 0. 74

B. C = 0. 74 +0. 25

Ο Ο Ο Ο

C. C = 0. 75t + 0. 99

D. C = 0. 99 +0. 75
"

Answer 1

A. C=0.25t + 0.74

Explanation:

To prove this, plug in the number of toppings into t. We can already know that B and D are incorrect given that there are no t values and the answer to those are 0.99 and 1.74. Now, when 4 is inserted into the t variable in equation C, it comes out to 3.99, which doesn't fit the situation. However, when 4 is inserted into the t variable in equation A, it comes out to 1.74, which does fit the situation. For further explanation, when 7 is inserted into the t variable in equation D, it equals 6.24, while when put into equation A it equals 2.49, as shown in the question.

Hope this helps!