Question

The equation y = 16x + 560 describes the number of calories in a recipe, where y is the total number of calories and x is the number of teaspoons of sugar added. The table shows the number of calories in another recipe, where y is the total number of calories and x is the number of teaspoons of honey added.

How many calories are in a teaspoon of sugar, and how many are in a teaspoon of honey?

Teaspoons of honey 1 2 4 7
Total calories 504 568 696 888

A teaspoon of sugar has ____ calories.
A teaspoon of honey has ____ calories.

Answer 1

@pooja195 @Qwertty123 @MissSmartiez @myininaya

Answer 2

so ahemm take a peek at your table for the calories in 1 teaspoon of honey
so \(\begin{array}{rcccc}
honey&1&2&4&7\\
calories&504&568&696&888
\end{array}\)
how many do you think?

Answer 3

well for honey i know theres 504 calories

Answer 4

i don't know about sugar

Answer 5

ok now for the sugar added
recall "sugar added" = x
"calories" = y

so how many "y" n 1 teaspoon of sugar, or in 1 x
or if x = 1, what's "y"?
\(\bf y=16x+560\qquad {\color{brown}{ x=1}}\implies y=16{\color{brown}{ (1)}}+560\)

Answer 6

so sugar calories would be 577

Answer 7

577?

Answer 8

577 calories

Answer 9

well.. hmm how did you get 577 though?

Answer 10

16+1+560=577

Answer 11

wait

Answer 12

\(\bf y=16x+560\qquad {\color{brown}{ x=1}}\implies y=16{\color{brown}{ (1)}}+560\implies y=16\cdot 1+560\)

Answer 13

so 576?

Answer 14

yeap

Answer 15

thank you soooooo much :)

Answer 16

yw